Preprints of George Gasper

Titles:

• List of publications of George Gasper
• Elementary derivations of summation and transformation formulas for $q$-series
• Errata to the Gasper and Rahman ``Basic Hypergeometric Series'' book
• In Memoriam, Ralph P. Boas, Jr. (1912-1992)
• Using sums of squares to prove that certain entire functions have only real zeros
• Fractional integration for Laguerre expansions
• A Riemann-Lebesgue Lemma for Jacobi expansions
• Ultraspherical multipliers revisited
• On necessary multiplier conditions for Laguerre expansions
• On a restriction problem of de Leeuw type for Laguerre multipliers
• On necessary multiplier conditions for Laguerre expansions II
• q-Extensions of Barnes', Cauchy's, and Euler's beta integrals
• q-Extensions of Clausen's formula and of the inequalities used by DeBranges in his proof of the Bieberbach, Robertson and Milin conjectures
• An indefinite bibasic summation formula and some quadratic, cubic, and quartic summation and transformation formulas
• Using symbolic computer algebraic systems to derive formulas involving orthogonal polynomials and other special functions
• Solution to Problem 2 in the SIAM Activity Group on Orthogonal Polynomials and Special Functions Newsletter
• A lower estimate for the Lebesgue constants of linear means of Laguerre expansions
• Applications of weighted Laguerre transplantation theorems
• Problem 19 in the SIAM Activity Group on Orthogonal Polynomials
• Norm inequalities for fractional integrals of Laguerre and Hermite expansions
• Minicourse on q-Series
• q-Extensions of Erdélyi's fractional integral representations for hypergeometric functions and some summation formulas for double q-Kampé de Fériet series
• q-Analogues of some multivariable biorthogonal polynomials
• Some systems of multivariable orthogonal Askey-Wilson polynomials
• Summation, transformation, and expansion formulas for multibasic theta hypergeometric series
• Some curious q-series expansions and beta integral evaluations
• Some systems of multivariable orthogonal q-Racah polynomials
• 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

Author address:
	George  Gasper
	Department of Mathematics
	Northwestern University
	Evanston, IL 60208-2730
	george (followed by @math.northwestern.edu)
        Web Home Page: http://www.math.northwestern.edu/people/faculty/homepages/george.gasper.html
and  http://www.math.northwestern.edu/~george/