DOAJ Open Access 2021

Summation of some infinite series by the methods of Hypergeometric functions and partial fractions

M.I. Qureshi J. Majid A.H. Bhat

Abstrak

In this article we obtain the summations of some infinite series by partial fraction method and by using certain hypergeometric summation theorems of positive and negative unit arguments, Riemann Zeta functions, polygamma functions, lower case beta functions of one-variable and other associated functions. We also obtain some hypergeometric summation theorems for: 8F7[9/2, 3/2, 3/2, 3/2, 3/2, 3, 3, 1; 7/2, 7/2, 7/2, 7/2, 1/2, 2, 2; 1], 5F4[5/3, 4/3, 4/3, 1/3, 1/3; 2/3, 1, 2, 2; 1], 5F4[9/4, 5/2, 3/2, 1/2, 1/2; 5/4, 2, 3, 3; 1], 5F4[13/8, 5/4, 5/4, 1/4, 1/4; 5/8, 2, 2, 1; 1], 5F4[1/2, 1/2, 5/2, 5/2, 1; 3/2, 3/2, 7/2, 7/2; −1], 4F3[3/2, 3/2, 1, 1; 5/2, 5/2, 2; 1], 4F3[2/3, 1/3, 1, 1; 7/3, 5/3, 2; 1], 4F3[7/6, 5/6, 1, 1; 13/6, 11/6, 2; 1] and 4F3[1, 1, 1, 1; 3, 3, 3; −1].

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (3)

M.I. Qureshi

J. Majid

A.H. Bhat

Format Sitasi

APA MLA BibTeX

Qureshi, M., Majid, J., Bhat, A. (2021). Summation of some infinite series by the methods of Hypergeometric functions and partial fractions. https://doi.org/10.31489/2021M3/87-95

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Informasi Jurnal

Tahun Terbit: 2021
Sumber Database: DOAJ
DOI: 10.31489/2021M3/87-95
Akses: Open Access ✓