不完全超几何函数的分数阶算子变换公式

Q4 Mathematics Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics Pub Date : 2021-01-20 DOI:10.31926/but.mif.2020.13.62.2.15

K. Jangid, S. Purohit, D.L. Suthar

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摘要

本文的目的是从分数阶微积分算子的应用中推导出一种变换，该变换以各种形式的低阶函数的可数和表示可能有用的不完全超几何函数。通常列出许多(已知的或新的)具体案例和本文所述发现的含义

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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Transformation formulas of incomplete hypergeometric functions via fractional calculus operators

The desire for present article is to derive from the application of fractional calculus operators a transformation that expresses a potentially useful incomplete hypergeometric function in various forms of a countable sum of lesser-order functions. Often listed are numerous (known or new) specific cases and implications of the findings described herein

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