23 citations · 54 across the 16 of their papers we have counts for
16 papers
The Sums of a Double Hypergeometric Series and of the First m+1 Terms of 3F2(a,b,c;(a+b+1)/2,2c;1) when c = -m is a Negative Integer
Charles F. Dunkl, George Gasper
A summation formula is derived for the sum of the first m+1 terms of the 3F2(a,b,c;(a+b+1)/2,2c;1) series when c = -m is a negative integer. This summation formula is used to deriv…
Using integrals of squares of certain real-valued special functions to prove that the Pólya Ξ^*(z) function, the functions K_{iz}(a), a > 0, and some other entire functions have only real zeros
George Gasper
Analogous to the use of sums of squares of certain real-valued special functions to prove the reality of the zeros of the Bessel functions J_α(z) when α\ge -1, confluent hypergeome…
Summation, transformation, and expansion formulas for multibasic theta hypergeometric series
George Gasper, Michael Schlosser
After reviewing some fundamental facts from the theory of theta hypergeometric series we derive, using indefinite summation, several summation, transformation, and expansion formul…
Some Systems of Multivariable Orthogonal q-Racah polynomials
George Gasper, Mizan Rahman
In 1991 Tratnik derived two systems of multivariable orthogonal Racah polynomials and considered their limit cases. q-Extensions of these systems are derived, yielding systems of m…
Some Systems of Multivariable Orthogonal Askey-Wilson Polynomials
George Gasper, Mizan Rahman
In 1991 Tratnik derived two systems of multivariable orthogonal Wilson polynomials and considered their limit cases. q-Analogues of these systems are derived, yielding systems of m…
q-Analogues of Some Multivariable Biorthogonal Polynomials
George Gasper, Mizan Rahman
A q-analogue a pair of multivariable biorthogonal polynomials found by M.V.Tratnik in 1989 is derived. The weight function is a product of a multivariable version of the integrand…