利用扩展Beta函数的广义莱特函数及其性质

IF 0.7 Q2 MATHEMATICS

Tamkang Journal of Mathematics Pub Date : 2020-11-01 DOI:10.5556/j.tkjm.51.2020.3087

N. Khan, Talha Usma, M. Aman

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引用次数: 4

摘要

摘要本文利用扩展beta函数对Wright函数进行了新的推广，并研究了该函数的一些经典性质。我们建立了几个涉及积分变换(如Jacobi变换，Gegenbauer变换)和广义莱特函数族的公式，这些公式在文献中似乎没有报道过，甚至在基本莱特函数中也是如此。进一步讨论了广义莱特函数的递推关系、导数公式、分数阶导数公式以及部分双边和部分单边的生成关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Generalized Wright Function and Its Properties Using Extended Beta Function

Abstract. In this paper, we introduce a new generalization of the Wright function by using an extended beta function and study some classical properties of this function. We establish several formulas involving integral transforms (e.g. Jacobi transform, Gegenbauer transform) and the generalized family of Wright function that does not seem to be reported in the literature even for the basic Wright function. Furthermore, we discuss other results including the recurrence relation, derivative formula, fractional derivative formula and also a partly bilateral and partly unilateral generating relation for the generalized Wright function.

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来源期刊

Tamkang Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

期刊介绍： To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.