Brownian motion is a continuum scaling limit for a wide class of random processes, and
there has been great success in develo** a theory for its properties (such as distribution …

We consider the solution of the stochastic heat equation\cal Z= 1 2\partial_X^ 2\cal Z-\cal Z ̇
W with delta function initial condition\cal Z (T= 0, X)= X= 0 whose logarithm, with appropriate …

In the vast literature in Analytic Number Theory, one can find systematic and extensive
investigations not only of the classical Bernoulli, Euler and Genocchi polynomials and their …

The computation of Feynman integrals in massive higher order perturbative calculations in
renormalizable quantum field theories requires extensions of multiply nested harmonic …

Our main purpose in this survey-cum-expository article is to systematically investigate
several families of the celebrated Hurwitz-Lerch Zeta function including (for example) the so …

The main object of this paper is to give analogous definitions of Apostol type (see [TM
Apostol, On the Lerch Zeta function, Pacific J. Math. 1 (1951) 161–167] and [HM Srivastava …

This paper presents a direct solution technique for solving the generalized pantograph
equation with variable coefficients subject to initial conditions, using a collocation method …

The main object of this article is to introduce and investigate an integral operator J s, b (f)
defined, by using the Hurwitz–Lerch Zeta function, on the various subclasses of the class of …

Recently, the authors introduced some generalizations of the Apostol–Bernoulli polynomials
and the Apostol–Euler polynomials (see [Q.-M. Luo, HM Srivastava, J. Math. Anal. Appl. 308 …

Recently several authors have extended the Gamma function, Beta function, the
hypergeometric function, and the confluent hypergeometric function by using their integral …