# DEPARTMENT OF MATHEMATICS

## George Gasper

### Biography

See: Basic Hypergeometric Series (with M. Rahman):Second Edition: 2004

### Selected Publications

1. Elementary derivations of summation and transformation formulas for $q$-series
2. Errata to the Gasper and Rahman Basic Hypergeometric Series'' book
3. George Gasper's May 29, 1973 letter to Tom Koornwinder and Dick Askey containing his discovery and proof of the inequality that was used by Louis de Branges to prove the Bieberbach Conjecture
4. In Memoriam, Ralph P. Boas, Jr. (1912-1992)
5. Using sums of squares to prove that certain entire functions have only real zeros
6. Fractional integration for Laguerre expansions
7. A Riemann-Lebesgue Lemma for Jacobi expansions
8. Ultraspherical multipliers revisited
9. On necessary multiplier conditions for Laguerre expansions
10. On a restriction problem of de Leeuw type for Laguerre multipliers
11. On necessary multiplier conditions for Laguerre expansions II
12. q-Extensions of Barnes', Cauchy's, and Euler's beta integrals
13. q-Extensions of Clausen's formula and of the inequalities used by DeBranges in his proof of the Bieberbach, Robertson and Milin conjectures
14. An indefinite bibasic summation formula and some quadratic, cubic, and quartic summation and transformation formulas
15. Using symbolic computer algebraic systems to derive formulas involving orthogonal polynomials and other special functions
16. Solution to Problem 2 in the SIAM Activity Group on Orthogonal Polynomials and Special Functions Newsletter
17. A lower estimate for the Lebesgue constants of linear means of Laguerre expansions
18. Applications of weighted Laguerre transplantation theorems
19. Problem 19 in the SIAM Activity Group on Orthogonal Polynomials Norm inequalities for fractional integrals of Laguerre and Hermite expansions
20. Minicourse on q-Series
21. q-Extensions of Erdélyi's fractional integral representations for hypergeometric functions and some summation formulas for double q-Kampé de Fériet series
22. q-Analogues of some multivariable biorthogonal polynomials
23. Some systems of multivariable orthogonal Askey-Wilson polynomials
24. Summation, transformation, and expansion formulas for multibasic theta hypergeometric series
25. Some curious q-series expansions and beta integral evaluations
26. Some systems of multivariable orthogonal q-Racah polynomials
27. Using integrals of squares of certain real-valued special functions to prove that the P\'olya $\Xi^*(z)$ function, the functions $K_{iz}(a), a>0,$ and some other entire functions have only real zeros