A multiplier theorem for Jacobi expansions
A multiplier theorem for ultraspherical series
A naive-topological study of the contiguity relations for hypergeometric functions
When the parameters are real, the hypergeometric equation defines a Schwarz triangle. We study a combinatorial-topological property of the Schwarz triangle when the three angles are not necessarily less than π.
A new approach to the problem of constructing recurrence relations for the Jacobi coefficients
A new class of Bessel function integrals.
A new criterion for close-to-convexity of partial sums of certain hypergeometric functions.
A new family of functional series relations involving digamma functions
A new form of the spherical expansion of zonal functions and Fourier transforms of -finite functions.
A new generalized theorem on Fox's H-function.
A new irrationality measure for ζ(3)
A new method to obtain series for and .
A new perspective on some approximations used in neutron transport modeling
In this contribution, we will use the Maxwell-Cartesian spherical harmonics (introduced in [1,2]) to derive a system of partial differential equations governing transport of neutrons within an interacting medium. This system forms an alternative to the well known approximation, which is based on the expansion of the directional dependence into tesseral spherical harmonics ([3,p.197]). In comparison with this latter set of equations, the Maxwell-Cartesian system posesses a much more regular structure,...
A new semi-orthogonal relation for the Laguerre polynomials
A normalization formula for the Jack polynomials in superspace and an identity on partitions.
A Note on a Classical Generating Function for the Jacobi Polynomials
Mathematics Subject Classification: 33C45.A more general form for a classical generating function for the Jacobi polynomials is given.* Partially supported by Project MM 1305 - National Science Fund, Bulgarian Ministry of Educ. Sci.
A note on a monotonicity property of Bessel functions.
A note on a theorem of C. L. Siegel concerning Bessel's equation
A note on an inequality for the gamma function.
A note on boundedness properties of Wright's generalized hypergeometric functions
A note on certain classes of transformation formulas involving several variables.