Higher Transcendental Functions

  title={Higher Transcendental Functions},
  author={Thomas M. MacRobert},
Higher Transcendental FunctionsBased, in part, on notes left by the late Prof. Harry Bateman, and compiled by the Staff of the Bateman Project. Vol. 1. Pp. xxvi + 302. 52s. Vol. 2. Pp. xvii + 396. 60s. (London: McGraw-Hill Publishing Company, Ltd., 1953.) 

Some functional relations derived from the Lindelöf-Wirtinger expansion of the Lerch transcendent function

A generalized form of Möbius inversion applies to the Lindelöf-Wirtinger expansion of the Lerch transcendent function and implies an inversion formula for the Hurwitz zeta function as a limiting case.


The purpose of this paper is to assist in locating useful approximations and software for the numerical generation of higher transcendental functions, and to offer some suggestions for future developments in this field.

Series identities and reducibility of Kampé de Fériet functions

The work of H. M. Srivastava (9) on generalizations of an interesting identity of Carlson is expanded upon in order to obtain series identities analogous to all four of the Appell functions and their

On the inverse gamma subordinator

In this paper we deal with some open problems concerned with gamma subordinators. In particular, we provide a representation for the moments of the inverse gamma subordinator. Then, we focus on


see for instance [6, Section 1.11, p. 27] or [1, Section 25.14]. This function, de…ned by Mathias Lerch in 1887 in his paper [8], includes as special cases of the parameters; the Hurwitz, Riemann

On the Hurwitz function for rational arguments

  • V. Adamchik
  • Mathematics, Philosophy
    Appl. Math. Comput.
  • 2007

Monogenic Appell Sets as Representations of the Heisenberg Algebra

  • D. Eelbode
  • Mathematics
    Advances in Applied Clifford Algebras
  • 2012
In a recent series of papers, Appell sets were generalized from the classical (real and complex) setting to higher dimensions, within the framework of Clifford analysis. The aim of this paper is to

A Devil's Platform

This chapter discusses the development of types of mathematical functions and their applications in number theory, as well as some of the techniques used in proofs and criticism.

Polygamma functions of negative order