AbstractIn this short note we consider the modified Bessel function of the first kind Iν and we present an alternative derivation of the MacLaurin series expansion of the power Iνr, where r is an arbitrary real (or complex) number. The key tool in our proof is a very old formula of L. Euler deduced in 1748
This paper is a deep exploration of the project Bessel Functions by Martin Kreh of Pennsylvania Stat...
AbstractWe examine a Maple implementation of two distinct approaches to Laplace's method used to obt...
In this paper our aim is to establish some generalizations upon the sufficient conditions for linear...
AbstractIn this short note we consider the modified Bessel function of the first kind Iν and we pres...
AbstractA standard method for computing values of Bessel functions has been to use the well-known as...
In \cite{MR2221114}, B.~C.~Berndt and A.~Zaharescu introduced the twisted divisor sums associated wi...
An Expansion for the Product of Two Bessel Functions.-1.1. An expansion for the product of two Besse...
AbstractIn this note our aim is to deduce some sufficient conditions for integral operators involvin...
AbstractWe derive analogues of theorems of Ramanujan, Koshliakov, and Guinand involving primitive ch...
AbstractIn this work, two general forms of Jordan’s inequalities for the Bessel and modified Bessel ...
AbstractSimple inequalities for some integrals involving the modified Bessel functions Iν(x) and Kν(...
AbstractA method to compute the modified Bessel functions Iυ(x) and Kυ(x) for positive real x and in...
AbstractWe exploit an operational method, recently introduced by the authors, to derive families of ...
Completeness relations are associated through Mercer's theorem to complete orthonormal basis of squa...
AbstractIn this short note, we give new proofs of Redheffer’s inequality for modified Bessel functio...
This paper is a deep exploration of the project Bessel Functions by Martin Kreh of Pennsylvania Stat...
AbstractWe examine a Maple implementation of two distinct approaches to Laplace's method used to obt...
In this paper our aim is to establish some generalizations upon the sufficient conditions for linear...
AbstractIn this short note we consider the modified Bessel function of the first kind Iν and we pres...
AbstractA standard method for computing values of Bessel functions has been to use the well-known as...
In \cite{MR2221114}, B.~C.~Berndt and A.~Zaharescu introduced the twisted divisor sums associated wi...
An Expansion for the Product of Two Bessel Functions.-1.1. An expansion for the product of two Besse...
AbstractIn this note our aim is to deduce some sufficient conditions for integral operators involvin...
AbstractWe derive analogues of theorems of Ramanujan, Koshliakov, and Guinand involving primitive ch...
AbstractIn this work, two general forms of Jordan’s inequalities for the Bessel and modified Bessel ...
AbstractSimple inequalities for some integrals involving the modified Bessel functions Iν(x) and Kν(...
AbstractA method to compute the modified Bessel functions Iυ(x) and Kυ(x) for positive real x and in...
AbstractWe exploit an operational method, recently introduced by the authors, to derive families of ...
Completeness relations are associated through Mercer's theorem to complete orthonormal basis of squa...
AbstractIn this short note, we give new proofs of Redheffer’s inequality for modified Bessel functio...
This paper is a deep exploration of the project Bessel Functions by Martin Kreh of Pennsylvania Stat...
AbstractWe examine a Maple implementation of two distinct approaches to Laplace's method used to obt...
In this paper our aim is to establish some generalizations upon the sufficient conditions for linear...