Terminating ₄F₃-series extended with two integer parameters

ABSTRACT

By means of linearization method, we investigate a class of terminating almost-balanced ${}_4{F}_3$-series with two extra integer parameters. Three analytical formulae are established and several identities for both ${}_4{F}_3$-series and well-poised ${}_7{F}_6$-series are given as examples.

KEYWORDS:

• Terminating hypergeometric series
• Hagen–Rothe convolution identity
• Chu–Vandermonde formula
• Pfaff–Saalschütz theorem
• Whipple's transformation

2000 MATHEMATICS SUBJECT CLASSIFICATION:

• Primary: 05A19
• Secondary: 33C20

Disclosure statement

No potential conflict of interest was reported by the authors.