On a higher-order version of a formula due to Ramanujan

IF 0.7 3区数学 Q2 MATHEMATICS Integral Transforms and Special Functions Pub Date : 2024-02-01 DOI:10.1080/10652469.2024.2309203

J. M. Campbell

引用次数: 0

Abstract

A special case of an Entry in Part II of Ramanujan's Notebooks is such that 1+15(12)2+19(1⋅32⋅4)2+⋯=Γ4(14)16π2. This formula leads us to consider the higher-order version of the above series given...

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关于拉马努扬公式的高阶版本

拉马努扬笔记本》第二部分中的一个条目的特例是：1+15(12)2+19(1⋅32⋅4)2+⋯=Γ4(14)16π2。

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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来源期刊

Integral Transforms and Special Functions 数学-数学

CiteScore

2.20

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Integral Transforms and Special Functions belongs to the basic subjects of mathematical analysis, the theory of differential and integral equations, approximation theory, and to many other areas of pure and applied mathematics. Although centuries old, these subjects are under intense development, for use in pure and applied mathematics, physics, engineering and computer science. This stimulates continuous interest for researchers in these fields. The aim of Integral Transforms and Special Functions is to foster further growth by providing a means for the publication of important research on all aspects of the subjects.

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