A transformation of certain infinite series based on the non-local derangement identity |
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| Authors: | Marian Genčev |
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| Affiliation: | 1.Faculty of Economics,V?B—Technical University,Ostrava,Czech Republic |
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| Abstract: | 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 like
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