On a Generalization of a Theorem due to Larcombe on the Sum of a 3F2 Series
MSC 2010: 33C20
On a generalization of binomial coefficients. (Sur une généralisation des coefficients binomiaux.)
On a new summation formula for basic bilateral hypergeometric series and its applications.
On certain formulas for the multivariable hypergeometric functions.
On convergence of -series involving basic hypergeometric series.
On geometry of fronts in wave propagations
We give a geometric descriptions of (wave) fronts in wave propagation processes. Concrete form of defining function of wave front issued from initial algebraic variety is obtained by the aid of Gauss-Manin systems associated with certain complete intersection singularities. In the case of propagations on the plane, we get restrictions on types of possible cusps that can appear on the wave front.
On Hankel Transform of Generalized Mathieu Series
Mathematics Subject Classification: Primary 33E20, 44A10; Secondary 33C10, 33C20, 44A20By using integral representations for several Mathieu type series, a number of integral transforms of Hankel type are derived here for general families of Mathieu type series. These results generalize the corresponding ones on the Fourier transforms of Mathieu type series, obtained recently by Elezovic et al. [4], Tomovski [19] and Tomovski and Vu Kim Tuan [20].
On hypergeometric-type generating relations associated with the generalized zeta function.
On Polynomials Associated With Humbert's Polynomials
On -operators and summation of some -series.
On q-Laplace Transforms of the q-Bessel Functions
Mathematics Subject Classification: 33D15, 44A10, 44A20The present paper deals with the evaluation of the q-Laplace transforms of a product of basic analogues of the Bessel functions. As applications, several useful special cases have been deduced.
On the convergence domains of hypergeometric series in several variables.
On the Generalized Associated Legendre Functions
Mathematics Subject Classification: 33C60, 33C20, 44A15This paper is devoted to an important case of Wright’s hypergeometric function 2Fτ,β1(a, b; c; z) = 2Fτ,β1(z), to studying its basic properties and to application of 2Fτ,β1(z) to the generalization of the associated Legendre functions.
On the Generalized Confluent Hypergeometric Function and Its Application
2000 Mathematics Subject Classification: 26A33, 33C20This paper is devoted to further development of important case of Wright’s hypergeometric function and its applications to the generalization of Γ-, B-, ψ-, ζ-, Volterra functions.
Orthogonal polynomials and recurrence equations, operator equations and factorization.