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New summation formula for ${}_3F_2\big(\tfrac12\big)$ and a Kummer--type II transformation of ${}_2F_2(x)$

Arjun K. Rathie ; MIT Engineering College, Raisar, Rajasthan State, India
Tibor K. Pogány orcid id orcid.org/0000-0002-4635-8257 ; Faculty of Maritime Studies, University of Rijeka, Rijeka, Croatia


Puni tekst: engleski pdf 84 Kb

str. 63-66

preuzimanja: 1.870

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Sažetak

The aim of this research note is a new summation formula for the series ${}_3F_2\big(\tfrac12\big)$.
The summation formula is then applied to establish a Kummer--type II transformation for
the series ${}_2F_2(x)$.

Ključne riječi

hypergeometric ${}_3F_2$; Kummer--type transformations; summation formula

Hrčak ID:

23558

URI

https://hrcak.srce.hr/23558

Datum izdavanja:

28.5.2008.

Posjeta: 2.639 *