任意阶和阶的广义贝塞尔函数的几何特性

IF 0.9 Q2 MATHEMATICS
Naveen Kumari, Jugal Kishore Prajapat
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引用次数: 0

摘要

贝塞尔函数及其各种概型已在应用数学和理论物理的各个分支(包括几何函数论)中得到广泛研究。在本文中,我们研究了阶(\mu \)和度(\nu \)的贝赛尔函数的基本特征。我们研究的结果包括给出单等性、凸性和星性等特征性质的结果。我们进一步研究了函数 \(L_{\mu ,\nu }\) 强凸性和强似星性的条件。我们还提到了几个推论,描述了主要结果的有用性,其中一个推论改进了归一化贝塞尔函数的结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Geometric properties of generalized Bessel function of arbitrary order and degree

The Bessel function and its various generalizations have extensively been studied in various branches of applied mathematics and theoretical physics, including the Geometric Function Theory. In this paper, we study basic characteristics of Bessel functions of order \(\mu \) and degree \(\nu \). Among the results that we investigate are the results giving the characteristic properties of univalence, convexity and starlikeness. We further investigate the conditions under which the function \(L_{\mu ,\nu }\) are strongly convex and strongly starlike. Several corollaries are also mentioned depicting the usefulness of the main results, one of the Corollary providing improvement in a result for normalized Bessel function.

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来源期刊
Afrika Matematika
Afrika Matematika MATHEMATICS-
CiteScore
2.00
自引率
9.10%
发文量
96
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