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On a new nonlinear transformation and its applications to special functions

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Abstract

A new nonlinear transformation is introduced by T = ÃMÁ : R[[x]] ! R[[x]]. Some simple examples and properties of T are discussed. Under certain restrictions, the inverse transformation is also introduced with examples. Many applications of this nonlinear transformation to special functions is studied with examples.

참고문헌 (2)

  1. Myint-U T, "Linear Partial Dierential Equations for Scientists and Engineers" (2006), Birkhauser Verlag
  2. Vall?e O, "Airy Functions and Applications to Physics" (2004), World Scientic Press

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