GENERALIZATION OF WATSON'S THEOREM FOR DOUBLE SERIES
Copyright policy )GENERALIZATION OF WATSON'S THEOREM FOR DOUBLE SERIES
Summary: In 1965, Bhatt and Pandey [Bhatt, R.C.; Pandey, R.C., Ganita 16, 89-98 (1965; Zbl 0148.05002)] obtained the Watson's theorem for double series by using Dixon's theorem on thesum of a \({}_3F_2\). The aim of this paper is to derive twenty three results for double series closely related to the Watson's theorem for double series obtained by Bhatt and Pandey. The results are derived with the help of twenty three summation formulas closely related to the Dixon's theorem on the sum of a \({}_3F_2\) obtained in earlier work by Lavoie, Grondin, Rathie and Arora.
Other hypergeometric functions and integrals in several variables, Classical hypergeometric functions, \({}_2F_1\), Generalized hypergeometric series, \({}_pF_q\), Other functions defined by series and integrals, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable
Other hypergeometric functions and integrals in several variables, Classical hypergeometric functions, \({}_2F_1\), Generalized hypergeometric series, \({}_pF_q\), Other functions defined by series and integrals, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable
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