A transformation of certain infinite series based on the non-local derangement identity

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F11%3A86078621" target="_blank" >RIV/61989100:27510/11:86078621 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s11139-011-9303-4" target="_blank" >http://dx.doi.org/10.1007/s11139-011-9303-4</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11139-011-9303-4" target="_blank" >10.1007/s11139-011-9303-4</a>

Result language

angličtina

Original language name

A transformation of certain infinite series based on the non-local derangement identity

Original language description

The aim of the paper is a new transformation of certain infinite series based on an identity from Sylvester also known as the non-local derangement identity. Surprisingly, the result found can be applied to evaluate certain types of the generalized hypergeometric function p F q (z) or infinite series involving the combination of hyperbolic functions, irrational functions and polynomials some of which seem to be new. On the other hand, for those which are known, our approach provides a new method to derive the discussed identities using a simple algorithm.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Publication year

2011

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

The Ramanujan journal

ISSN

1382-4090

e-ISSN

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Volume of the periodical

25

Issue of the periodical within the volume

3

Country of publishing house

DE - GERMANY

Number of pages

20

Pages from-to

369-387

UT code for WoS article

000297166900006

EID of the result in the Scopus database

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