The generalized Airy diffusion equation.
The Hermite polynomials and the Bessel functions from a general point of view.
The Laplace transform of the modified Bessel function of the second kind.
The law of the maximum of a Bessel bridge.
The Mehler-Fock transform of general order and arbitrary index and its inversion.
The properties, inequalities and numerical approximation of modified Bessel functions.
The zeros of as functions of order.
Theorems for double-index one-parameter Bessel functions.
Theorems on the Convergence of Series in Generalized Lommel-Wright Functions
Mathematics Subject Classification: 30B10, 30B30; 33C10, 33C20The classical Cauchy-Hadamard, Abel and Tauber theorems provide useful information on the convergence of the power series in complex plane. In this paper we prove analogous theorems for series in the generalized Lommel-Wright functions with 4 indices. Results for interesting special cases of series involving Bessel, Bessel-Maitland, Lommel and Struve functions, are derived.We provide also a new asymptotic formula for the generalized ...
Transcendentality of zeros of higher derivatives of functions involving Bessel functions.