Displaying similar documents to “An asymptotic expansion for the number of permutations with a certain number of inversions.”

Asymptotic analysis of the Askey-scheme I: from Krawtchouk to Charlier

Diego Dominici (2007)

Open Mathematics

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We analyze the Charlier polynomials C n(χ) and their zeros asymptotically as n → ∞. We obtain asymptotic approximations, using the limit relation between the Krawtchouk and Charlier polynomials, involving some special functions. We give numerical examples showing the accuracy of our formulas.

Several Differentiation Formulas of Special Functions. Part VI

Bo Li, Pan Wang (2007)

Formalized Mathematics

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In this article, we prove a series of differentiation identities [3] involving the secant and cosecant functions and specific combinations of special functions including trigonometric, exponential and logarithmic functions.

Several Differentiation Formulas of Special Functions. Part III

Bo Li, Yan Zhang, Xiquan Liang (2006)

Formalized Mathematics

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In this article, we give several differentiation formulas of special and composite functions including trigonometric function, inverse trigonometric function, polynomial function and logarithmic function.