An integral for the product of two Selberg-Jack symmetric polynomials
An integral involving the generalized zeta function.
An integral operator inequality with applications.
An integral representation of some hypergeometric functions.
An integral transform and its application in the propagation of Lorentz-Gaussian beams
The aim of the present note is to derive an integral transform involving the product of the Whittaker function and the Bessel function of the first kind of order . As a by-product, we also derive certain new integral transforms as particular cases for some special values of the parameters and of the Whittaker function. Eventually, we show the application of the integral in the propagation of hollow higher-order circular Lorentz-cosh-Gaussian beams through an ABCD optical system (see,...
An interchangeable theorem of -integral.
An interesting double inequality for Euler's gamma function.
An introduction to finite fibonomial calculus
This is an indicatory presentation of main definitions and theorems of Fibonomial Calculus which is a special case of ψ-extented Rota's finite operator calculus [7].
An observation on the extension of Abel's lemma.
An operational formula involving the associated ultraspherical polynomials
An operational procedure for Hankel type integrals.
Analogues of Besicovitch-Wiener Theorem for Heisenberg Group.
Analyse harmonique hyperbolique : représentations et contractions des groupes
Analytic and combinatoric aspects of Hurwitz polyzêtas
In this work, a symbolic encoding of generalized Di-richlet generating series is found thanks to combinatorial techniques of noncommutative rational power series. This enables to explicit periodic generalized Dirichlet generating series – particularly the coloured polyzêtas – as linear combinations of Hurwitz polyzêtas. Moreover, the noncommutative version of the convolution theorem gives easily rise to an integral representation of Hurwitz polyzêtas. This representation enables us to build the...
Analytic continuation of multiple zeta-functions and their values at non-positive integers
Analytic Representations Suitable for Numerical Computation of Some Special Functions.
Another refinement of Bernstein's inequality.
Another relation between π, e, γ and ζ(n).
Antisymmetric orbit functions.
Anzahl der Zerlegungen einer ganzen rationalen Zahl in Summanden