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V. Kiryakova, “Generalized Fractional Calculus and Applications, Vol. 301,” Chapman & Hall/CRC, London, 1994.

has been cited by the following article:

• TITLE: G-Function Solutions for Schrödinger Equation in Cylindrical Coordinates System

  AUTHORS: Amir Pishkoo, Maslina Darus

  KEYWORDS: Meijer’s G-Function; Partial Differential Equation; Modified Separation of Variables; Schrödinger Equation

  JOURNAL NAME: Applied Mathematics, Vol.5 No.3, February 7, 2014

  ABSTRACT: In this paper, the Schr?dinger equation is solved by Modified separation of variables (MSV) method suggested by Pishkoo and Darus. Using this method, Meijer’s G-function solutions are derived in cylindrical coordinate system for quantum particle in cylindrical can. All elementary functions and most of the special functions which are the solution of extensive problems in physics and engineering are special cases of Meijer’s G-functions.