Displaying similar documents to “Several Higher Differentiation Formulas of Special Functions”

Difference and Difference Quotient. Part II

Bo Li, Yanping Zhuang, Xiquan Liang (2008)

Formalized Mathematics

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In this article, we give some important properties of forward difference, backward difference, central difference and difference quotient and forward difference, backward difference, central difference and difference quotient formulas of some special functions [11].MML identifier: DIFF 2, version: 7.8.09 4.97.1001

Chaos in some planar nonautonomous polynomial differential equation

Klaudiusz Wójcik (2000)

Annales Polonici Mathematici

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We show that under some assumptions on the function f the system ż = z ̅ ( f ( z ) e i ϕ t + e i 2 ϕ t ) generates chaotic dynamics for sufficiently small parameter ϕ. We use the topological method based on the Lefschetz fixed point theorem and the Ważewski retract theorem.

Difference and Difference Quotient. Part IV

Xiquan Liang, Ling Tang, Xichun Jiang (2011)

Formalized Mathematics

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In this article, we give some important theorems of forward difference, backward difference, central difference and difference quotient and forward difference, backward difference, central difference and difference quotient formulas of some special functions.

Difference and Difference Quotient. Part III

Xiquan Liang, Ling Tang (2010)

Formalized Mathematics

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In this article, we give some important theorems of forward difference, backward difference, central difference and difference quotient and forward difference, backward difference, central difference and difference quotient formulas of some special functions.

Several Integrability Formulas of Special Functions. Part II

Bo Li, Yanping Zhuang, Yanhong Men, Xiquan Liang (2009)

Formalized Mathematics

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In this article, we give several differentiation and integrability formulas of special and composite functions including the trigonometric function, the hyperbolic function and the polynomial function [3].MML identifier: INTEGR11, version: 7.11.01 4.117.1046

Several Differentiation Formulas of Special Functions. Part VII

Fuguo Ge, Bing Xie (2008)

Formalized Mathematics

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In this article, we prove a series of differentiation identities [2] involving the arctan and arccot functions and specific combinations of special functions including trigonometric and exponential functions.MML identifier: FDIFF 11, version: 7.10.01 4.111.1036