Four Orthogonal Polynomials Connected to e-x

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Authors

  • Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore - 570 006 ,IN
  • Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore - 570 006 ,IN

Keywords:

Pade Approximants, Regular C-Fraction, Exponential Function, Classical Orthogonal Polynomials.

Abstract

In the present paper the orthogonality relations, exhibited by both numerator and denominator polynomials of both [n/n] and [n−1/n] Pade approximants for power series expansion of e-x, given by regular C-fraction expansion, are described. The four orthogonal polynomials thus derived are shown to form classical orthogonal polynomials.