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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2009.1
- 수록면
- 147 - 154 (8page)
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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.
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참고문헌 (12)
참고문헌 신청
D. Aharonov / 1969 / A necessary and su±cient condition for univalence of a meromorphic function / Duke Math. J 36 : 599 ~ 604
E. Peschl / 1955 / Les invariants di®erentiels non holomorphes et leur r^ole dans la theorie des fonctions / Rend. Sem. Mat. Messina 1 : 100 ~ 108
E. Schippers / 2003 / Conformal invariants and higher-order Schwarz lemmas / J. Analyse Math 90 : 217 ~ 241
E. Schippers / 2007 / The calculus of conformal metrics / Ann. Acad. Sci. Fenn. Math 32 : 497 ~ 521
H. Tamanoi / 1996 / Higher Schwarzian operators and combinatorics of the Schwarzian deriv-ative / Math. Ann 305 : 127 ~ 151
E. Peschl / 1955 / Les invariants di®erentiels non holomorphes et leur r^ole dans la theorie des fonctions / Rend. Sem. Mat. Messina 1 : 100 ~ 108
E. Schippers / 2003 / Conformal invariants and higher-order Schwarz lemmas / J. Analyse Math 90 : 217 ~ 241
E. Schippers / 2007 / The calculus of conformal metrics / Ann. Acad. Sci. Fenn. Math 32 : 497 ~ 521
H. Tamanoi / 1996 / Higher Schwarzian operators and combinatorics of the Schwarzian deriv-ative / Math. Ann 305 : 127 ~ 151
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