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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.16 No.1

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SOME GENERALIZED HIGHER SCHWARZIAN OPERATORS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2009, v.16 no.1, pp.147-154
Kim, Seong-A
Kim,, S. (2009). SOME GENERALIZED HIGHER SCHWARZIAN OPERATORS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 16(1), 147-154.

Abstract

Tamanoi proposed higher Schwarzian operators which include the classical Schwarzian derivative as the first nontrivial operator. In view of the relations between the classical Schwarzian derivative and the analogous differential operator defined in terms of Peschl's differential operators, we define the generating function of our generalized higher operators in terms of Peschl's differential operators and obtain recursion formulas for them. Our generalized higher operators include the analogous differential operator to the classical Schwarzian derivative. A special case of our generalized higher Schwarzian operators turns out to be the Tamanoi's operators as expected.

keywords
Schwarzian derivative, Peschl's invariant differential operators, higher Schwarzian operators

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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