3 research outputs found
Evaluations of series of the -Watson, -Dixon, and -Whipple type
Full text linkUsing -series identities and series rearrangement, we establish several
extensions of -Watson formulas with two extra integer parameters. Then they
and Sears' transformation formula are utilized to derive some generalizations
of -Dixon formulas and -Whipple formulas with two extra integer
parameters. As special cases of these results, many interesting evaluations of
series of -Watson,-Dixon, and -Whipple type are displayed
Summation formulas for Fox-Wright function
Full text linkBy means of inversion techniques and several known hypergeometric series
identities, summation formulas for Fox-Wright function are explored. They give
some new hypergeometric series identities when the parameters are specified
Evaluations of series of the -Watson, -Dixon, and -Whipple type
No full textUsing -series identities and series rearrangement, we establish several
extensions of -Watson formulas with two extra integer parameters. Then they
and Sears' transformation formula are utilized to derive some generalizations
of -Dixon formulas and -Whipple formulas with two extra integer
parameters. As special cases of these results, many interesting evaluations of
series of -Watson,-Dixon, and -Whipple type are displayed
