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A closed form solution of convective mass transfer model for intracellular calcium response of endothelial cells.

Kumar, Vineet, Pandey, R.N., Upadhyay, S.N. (1998)

Mathematical Problems in Engineering

$A R (1)$ Time Series with Approximated Beta Marginal

Božidar V. Popović (2010)

Publications de l'Institut Mathématique

An integral transform and its application in the propagation of Lorentz-Gaussian beams

A. Belafhal, E.M. El Halba, T. Usman (2021)

Communications in Mathematics

The aim of the present note is to derive an integral transform $I = \int_{0}^{\infty} x^{s + 1} e^{- β x^{2} + γ x} M_{k, ν} (2 ζ x^{2}) J_{μ} (χ x) d x,$ involving the product of the Whittaker function $M_{k, ν}$ and the Bessel function of the first kind $J_{μ}$ of order $μ$ . As a by-product, we also derive certain new integral transforms as particular cases for some special values of the parameters $k$ and $ν$ of the Whittaker function. Eventually, we show the application of the integral in the propagation of hollow higher-order circular Lorentz-cosh-Gaussian beams through an ABCD optical system (see,...

Applications of the Owa-Srivastava Operator to the Class of K-Uniformly Convex Functions

Mishra, A. K., Gochhayat, P. (2006)

Fractional Calculus and Applied Analysis

2000 Mathematics Subject Classification: Primary 30C45, 26A33; Secondary 33C15By making use of the fractional differential operator Ω^λz (0 ≤ λ < 1) due to Owa and Srivastava, a new subclass of univalent functions denoted by k−SPλ (0 ≤ k < ∞) is introduced. The class k−SPλ unifies the concepts of k-uniformly convex functions and k-starlike functions. Certain basic properties of k − SPλ such as inclusion theorem, subordination theorem, growth theorem and class preserving transforms are studied.*...

Canards et râteaux

Augustin Fruchard (1992)

Annales de l'institut Fourier

On étudie le phénomène de retard à la bifurcation dans des systèmes dynamiques discrets du plan. La distinction d’une courbe invariante par le système permet de ramener l’étude de ce phénomène à l’étude d’un objet. On démontre la présence du retard dans les systèmes analytiques oscillants. On fait état d’un nouveau phénomène découvert expérimentalement qui apparaît dans les systèmes non inversibles: la courbe invariante présente une succession de pôles exponentiellement étroits. On démontre la présence...

Exact solution of convective mass transfer model for calcium response of endothelium.

Kumar, Vineet, Pandey, R.N., Upadhyay, S.N. (2000)

Mathematical Problems in Engineering

Further Generalization of Kobayashi's Gamma Function

Galue, L., Alobaidi, G., Kalla, S. (2001)

Serdica Mathematical Journal

In this paper, we introduce a further generalization of the gamma function involving Gauss hypergeometric function 2F1 (a, b; c; z)

Inequalities for Laguerre functions.

Love, E.R. (1997)

Journal of Inequalities and Applications [electronic only]

Inequalities for some Whittaker functions

Lee Lorch (1967)

Archivum Mathematicum

K-finite Whittaker functions are of finite order one

(2013)

Acta Arithmetica

We prove a finite order one type estimate for the Whittaker function attached to a K-finite section of a principle series representation of a real or complex Chevalley group. Effective computations are made using convexity in ℂⁿ, following the original paper of Jacquet. As an application, we give a simplified proof of the known result of the boundedness in vertical strips of certain automorphic L-functions, using a result of Müller.

Multivariate generalization of the confluent hypergeometric function kind 1 distribution.

Nagar, Daya K., Sepúlveda-Murillo, Fabio Humberto (2008)

International Journal of Mathematics and Mathematical Sciences

On automorphic L-functions for the Jacobi group of degree one and a relation with L-functions for Jacobi forms.

Rolf Berndt, Jost Homrighausen (1997)

Manuscripta mathematica

On modified asymptotic series involving confluent hypergeometric functions.

Deaño, Alfredo, Temme, Nico M. (2009)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

On some Mixture Distributions

Nakhi, Y. Ben, Kalla, S.L. (2004)

Fractional Calculus and Applied Analysis

The aim of this paper is to establish some mixture distributions that arise in stochastic processes. Some basic functions associated with the probability mass function of the mixture distributions, such as k-th moments, characteristic function and factorial moments are computed. Further we obtain a three-term recurrence relation for each established mixture distribution.

On the determination of the Plancherel measure for Lebedev-Whittaker transforms on GL(n)

Dorian Goldfeld, Alex Kontorovich (2012)