Some applications of a hypergeometric identity
Mathematical Sciences, ISSN: 2251-7456, Vol: 9, Issue: 4, Page: 215-223
2015
- 2Citations
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- Citations2
- Citation Indexes2
- CrossRef1
Article Description
In this paper, we use a general identity for generalized hypergeometric series to obtain some new applications. The first application is a hypergeometric-type decomposition formula for elementary special functions and the second one is a generalization of the well-known Euler identity eix=cosx+isinx and an extension of hyperbolic functions in the sequel. Applying the mentioned identity on classical hypergeometric orthogonal polynomials and deriving summation formulae for some classical summation theorems are two further applications of this identity.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85119488551&origin=inward; http://dx.doi.org/10.1007/s40096-015-0170-9; http://link.springer.com/10.1007/s40096-015-0170-9; http://link.springer.com/content/pdf/10.1007/s40096-015-0170-9; http://link.springer.com/content/pdf/10.1007/s40096-015-0170-9.pdf; http://link.springer.com/article/10.1007/s40096-015-0170-9/fulltext.html; https://dx.doi.org/10.1007/s40096-015-0170-9; https://link.springer.com/article/10.1007/s40096-015-0170-9
Springer Nature
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