超几何型扩展二元zeta函数

IF 0.7 Q2 MATHEMATICS

Tamkang Journal of Mathematics Pub Date : 2023-03-31 DOI:10.5556/j.tkjm.55.2024.5120

M. A. Pathan, M. Shahwan, M. Bin-Saad

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引用次数: 0

摘要

在广义扩展beta函数的基础上，引入并研究了一种新的超几何型扩展zeta函数及其相关的积分表示、微分关系、有限和和和级数展开。同时，我们也给出了扩展zeta函数与拉盖尔多项式之间的关系。我们的超几何型扩展zeta函数包括几个已知的zeta函数，包括Riemann, Hurwitz, Hurwitz- lerch和Barnes zeta函数作为特殊情况。

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Hypergeometric type extended bivariate zeta function

Based on the generalized extended beta function, we shall introduce and study a new hypergeometric-type extended zeta function together with related integral representations, differential relations, finite sums, and series expansions. Also, we present a relationship between the extended zeta function and the Laguerre polynomials. Our hypergeometric type extended zeta function involves several known zeta functions including the Riemann, Hurwitz, Hurwitz-Lerch, and Barnes zeta functions as particular cases.

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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.