On Some Results on H-Functions Associated with Orthogonal Polynomials.
On some trigonometric power sums.
On some Turán-type inequalities.
On special values of generalized p-adic hypergeometric functions
On squares of Hermite polynomials.
On Summation And Transformations Of Certain Hypergeometric Functions Of Three Variables
On summation and transformations of certain hypergeometric functions of three variables.
On systems of orthogonal polynomials with inner and end point masses
On the apostol-bernoulli polynomials
In the present paper, we obtain two new formulas of the Apostol-Bernoulli polynomials (see On the Lerch Zeta function. Pacific J. Math., 1 (1951), 161–167.), using the Gaussian hypergeometric functions and Hurwitz Zeta functions respectively, and give certain special cases and applications.
On the applications of a new technique to solve linear differential equations, with and without source.
On the asymptotic behaviour of some sequences of polynomials generated by second order linear recurrence relations.
On the asymptotic distributions of certain functional of eigenvalues of correlation matrices
On the asymptotic expansion of the Airy function
Si prova una nuova formula di rappresentazione per la famosa funzione di Airy. Ne viene data applicazione per la determinazione di certi bounds significativi per la funzione stessa.
On the characteristic equation of Chebyshev matrices.
On the Class Gamma and Related Classes of Functions
On the closed-form solution of the improved labor augmented Solow-Swan model.
On the complex geometry of invariant domains in complexified symmetric spaces
Let be a real symmetric space and the corresponding decomposition of the Lie algebra. To each open -invariant domain consisting of real ad-diagonalizable elements, we associate a complex manifold which is a curved analog of a tube domain with base , and we have a natural action of by holomorphic mappings. We show that is a Stein manifold if and only if is convex, that the envelope of holomorphy is schlicht and that -invariant plurisubharmonic functions correspond to convex -invariant...
On the composition structure of the twisted Verma modules for
We discuss some aspects of the composition structure of twisted Verma modules for the Lie algebra , including the explicit structure of singular vectors for both and one of its Lie subalgebras , and also of their generators. Our analysis is based on the use of partial Fourier tranform applied to the realization of twisted Verma modules as -modules on the Schubert cells in the full flag manifold for .
On the compound Poisson-gamma distribution
The compound Poisson-gamma variable is the sum of a random sample from a gamma distribution with sample size an independent Poisson random variable. It has received wide ranging applications. In this note, we give an account of its mathematical properties including estimation procedures by the methods of moments and maximum likelihood. Most of the properties given are hitherto unknown.
On the computation of Aden functions
The paper deals with the computation of Aden functions. It gives estimates of errors for the computation of Aden functions by downward reccurence.