Výsledky vyhledávání - "Paris, Richard B."

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Wright functions of the second kind and Whittaker functions

Autor: Mainardi, Francesco, Paris, Richard B., Consiglio, Armando

Publikováno v: Fractional Calculus and Applied Analysis, Vol. 25,pp. 858-875(2022)

In the framework of higher transcendental functions the Wright functions of the second kind have increased their relevance resulting from their applications in probability theory and, in particular, in fractional diffusion processes. Here, these func

Externí odkaz: http://arxiv.org/abs/2111.03510

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A note on a generalization of two well-known Cominatorial identities via a Hypergeometric series approach

Autor: Rathie, Arjun K., Kim, Insuk, Paris, Richard B.

In this note, we aim to provide generalizations of (i) Knuth's old sum (or Reed Dawson identity) and (ii) Riordan's identity using a hypergeometric series approach.
Comment: 5 pages

Externí odkaz: http://arxiv.org/abs/2007.11492

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Generalization of Sz\'{a}sz operators involving multiple Sheffer polynomials

Autor: Ali, Mahvish, Paris, Richard B.

The present work deals with the mathematical investigation of some generalizations of the Sz\'{a}sz operators. In this work, the multiple Sheffer polynomials are introduced. The generalization of Sz\'{a}sz operators involving multiple Sheffer polynom

Externí odkaz: http://arxiv.org/abs/2006.11131

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The running maximum of the Cox-Ingersoll-Ross process with some properties of the Kummer function

Autor: Gerhold, Stefan, Hubalek, Friedrich, Paris, Richard B.

We derive tail asymptotics for the running maximum of the Cox-Ingersoll-Ross process. The main result is proved by the saddle point method, where the tail estimate uses a new monotonicity property of the Kummer function. This auxiliary result is esta

Externí odkaz: http://arxiv.org/abs/2004.10697

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Asymptotics of the Wright function ${}_1\Psi_1(z)$ on the Stokes lines

Autor: Paris, Richard B

We investigate a particular aspect of the asymptotic expansion of the Wright function ${}_1\Psi_1(z)$ for large $|z|$. The form of the exponentially small expansion associated with this function on certain rays in the $z$-plane (known as Stokes lines

Externí odkaz: http://arxiv.org/abs/1403.5632

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