Applicable Analysis and Discrete Mathematics最新文献

筛选
英文 中文
A new class of generalized Fubini polynomials and their computational algorithms 一类新的广义富比尼多项式及其计算算法
4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2023-01-01 DOI: 10.2298/aadm210708023k
Neslihan Kilar
{"title":"A new class of generalized Fubini polynomials and their computational algorithms","authors":"Neslihan Kilar","doi":"10.2298/aadm210708023k","DOIUrl":"https://doi.org/10.2298/aadm210708023k","url":null,"abstract":"The aim of this paper is to give many new and elegant formulas for a new class of generalized Fubini polynomials with the aid of generating functions and their functional equations. By using these formulas, some computational algorithms involving a new class of generalized Fubini polynomials and special polynomials and numbers are constructed. Using these algorithms, some values of these numbers and polynomials are computed. Finally, some remarks and observations on the results of this paper are presented.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136304061","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The structure of the 2-factor transfer digraph common for rectangular, thick cylinder and Moebius strip grid graphs 矩形、粗圆柱和莫比乌斯带网格图常见的二因子传递图的结构
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2022-12-01 DOI: 10.2298/aadm211211006d
Jelena DJoki'c, Ksenija Doroslovački, O. Bodroža-Pantić
{"title":"The structure of the 2-factor transfer digraph common for rectangular, thick cylinder and Moebius strip grid graphs","authors":"Jelena DJoki'c, Ksenija Doroslovački, O. Bodroža-Pantić","doi":"10.2298/aadm211211006d","DOIUrl":"https://doi.org/10.2298/aadm211211006d","url":null,"abstract":"In this paper, we prove that all but one of the components of the transfer\u0000 digraph D? m needed for the enumeration of 2-factors in the rectangular,\u0000 thick cylinder and Moebius strip grid graphs of the fixed width m (m ? N)\u0000 are bipartite digraphs and that their orders could be expressed in term of\u0000 binomial coefficients. In addition, we prove that the set of vertices of\u0000 each component consists of all the binary m-words for which the difference\u0000 of numbers of zeros in odd and even positions is constant.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47438756","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Hügelschäffer egg curve and surface Hügelschäffer鸡蛋曲线和表面
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2022-05-28 DOI: 10.2298/AADM220526027P
Maja M. Petrović, Branko J. Malesevic
{"title":"Hügelschäffer egg curve and surface","authors":"Maja M. Petrović, Branko J. Malesevic","doi":"10.2298/AADM220526027P","DOIUrl":"https://doi.org/10.2298/AADM220526027P","url":null,"abstract":"In this paper we consider H?gelsch?ffer cubic curves which are generated\u0000 using appropriate geometric constructions. The main result of this work is\u0000 the mode of explicitly calculating the area of the egg-shaped part of the\u0000 cubic curve using elliptic integrals. In this paper, we also analyze the\u0000 H?gelsch?ffer surface of cubic curves for which we provide new forms of\u0000 formulae for the volume and surface area of the egg-shaped part. Curves and\u0000 surfaces of ovoid shape have wide applicability in aero-engineering and\u0000 construction, and are also of biologic importance. With respect to this, in\u0000 the final section, we consider some examples of the real applicability of\u0000 this H?gelsch?ffer model.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42377097","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Some results on degenerate Fubini and degenerate bell polynomials 关于退化富比尼和退化贝尔多项式的一些结果
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2022-03-01 DOI: 10.2298/aadm200310035k
Taekyun Kim, Dae San Kim
{"title":"Some results on degenerate Fubini and degenerate bell polynomials","authors":"Taekyun Kim, Dae San Kim","doi":"10.2298/aadm200310035k","DOIUrl":"https://doi.org/10.2298/aadm200310035k","url":null,"abstract":"The aim of this paper is to further study some properties and identities on\u0000 the degenerate Fubini and the degenerate Bell polynomials which are\u0000 degenerate versions of the Fubini and the Bell polynomials, respectively.\u0000 Especially, we find several expressions for the generating function of the\u0000 sum of the values of the generalized falling factorials at positive\u0000 consecutive integers.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49084623","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Characterization of strongly regular integral circulant graphs by spectral approach 用谱法刻画强正则积分循环图
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2022-01-01 DOI: 10.2298/aadm180713023b
Milan Basic
{"title":"Characterization of strongly regular integral circulant graphs by spectral approach","authors":"Milan Basic","doi":"10.2298/aadm180713023b","DOIUrl":"https://doi.org/10.2298/aadm180713023b","url":null,"abstract":"The integral circulant graph ICGn(D) has the vertex set Zn = {0, 1, 2, . . . , n? 1} and vertices a and b are adjacent if gcd(a ? b, n) ? D, where D ? Dn, Dn = {d : d | n, 1 ? d < n}. Motivated by the incorrect proof of a previously published result, in this paper we characterize the class of integral circulant graphs that are strongly regular. More precisely, connected ICGn(D) is strongly regular if and only if n is composite and D = {d ? Dn | m ? d} for some m | n and n ? 1 ? m ? 2.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68351716","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
On rapidly varying sequences 关于快速变化序列
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2022-01-01 DOI: 10.2298/aadm181107003t
Valentina Timotic, D. Djurcic, L. Kočinac
{"title":"On rapidly varying sequences","authors":"Valentina Timotic, D. Djurcic, L. Kočinac","doi":"10.2298/aadm181107003t","DOIUrl":"https://doi.org/10.2298/aadm181107003t","url":null,"abstract":"In this paper we investigate certain connections between the class Rs,? of rapidly varying sequences (in the sense of de Haan) and the rapid equivalence, selection principles and game theory.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68352025","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Sharp inequalities for the complete elliptic integrals of the first and second kinds 一类和二类完全椭圆积分的尖锐不等式
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2022-01-01 DOI: 10.2298/aadm200613020j
Weidong Jiang
{"title":"Sharp inequalities for the complete elliptic integrals of the first and second kinds","authors":"Weidong Jiang","doi":"10.2298/aadm200613020j","DOIUrl":"https://doi.org/10.2298/aadm200613020j","url":null,"abstract":"By studying the monotonicity properties of K(r), E(r) and some combinations of elementary functions and special functions, some new inequalities for the complete elliptic integrals of the first and second kinds are established. where K(r) =f0 ?/2","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68353210","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Asymptotic expansions and inequalities relating to the gamma function 关于函数的渐近展开式和不等式
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2022-01-01 DOI: 10.2298/aadm200710034c
Chao-Ping Chen, C. Mortici
{"title":"Asymptotic expansions and inequalities relating to the gamma function","authors":"Chao-Ping Chen, C. Mortici","doi":"10.2298/aadm200710034c","DOIUrl":"https://doi.org/10.2298/aadm200710034c","url":null,"abstract":"We present some asymptotic expansions and inequalities for ?(x+1)1/x ?(x+2)1/(x+1) and ?(x+1)1/x.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68353279","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Note on some classes of holomorphic functions related to Jack’s and Schwarz’s lemma 注意与杰克引理和施瓦茨引理有关的全纯函数的一些类别
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2022-01-01 DOI: 10.2298/aadm200319006m
M. Mateljevic, N. Mutavdzic, B. Örnek
{"title":"Note on some classes of holomorphic functions related to Jack’s and Schwarz’s lemma","authors":"M. Mateljevic, N. Mutavdzic, B. Örnek","doi":"10.2298/aadm200319006m","DOIUrl":"https://doi.org/10.2298/aadm200319006m","url":null,"abstract":"In this paper we discuss holomorphic mappings f of the unit disc U and corresponding index defined as If (z) = zf?(z) f(z). We are interested in finding bounds on the growth of functions f and related issues, if there are known some properties of If on U. Our main tool in accomplishing this connection is Jack?s lemma. As a special case, we got estimates on the growth of some classes of ?-starlike functions as well as some interesting generalisations.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68353480","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
A monotonicity theorem for the generalized elliptic integral of the first kind 一类广义椭圆积分的单调性定理
IF 0.9 4区 数学
Applicable Analysis and Discrete Mathematics Pub Date : 2022-01-01 DOI: 10.2298/aadm201005031b
Qi Bao, Xue-Jing Ren, Miao-Kun Wang
{"title":"A monotonicity theorem for the generalized elliptic integral of the first kind","authors":"Qi Bao, Xue-Jing Ren, Miao-Kun Wang","doi":"10.2298/aadm201005031b","DOIUrl":"https://doi.org/10.2298/aadm201005031b","url":null,"abstract":"For a ? (0,1/2] and r ? (0,1), let Ka(r) (K (r)) denote the generalized elliptic integral (complete elliptic integral, respectively) of the first kind. In this article, we mainly present a sufficient and necessary condition under which the function a ? [K(r)-Ka(r)]=(1-2a)?(?? R) is monotone on (0,1/2) for each fixed r ? (0,1). The obtained result leads to the conclusion that inequality K (r)- (1-2a)? [K(r)- ?/2] ? Ka(r) ? K (r)-(1-2a)? [K(r)-?/2] holds for all a ? (0,1/2] and r ? (0,1) with the best possible constants ? = ?/2 and ? = 2.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68353655","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信