A closed form solution of convective mass transfer model for intracellular calcium response of endothelial cells.
Time Series with Approximated Beta Marginal
An integral transform and its application in the propagation of Lorentz-Gaussian beams
The aim of the present note is to derive an integral transform involving the product of the Whittaker function and the Bessel function of the first kind of order . As a by-product, we also derive certain new integral transforms as particular cases for some special values of the parameters and 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
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
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.
Further Generalization of Kobayashi's Gamma Function
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.
Inequalities for some Whittaker functions
K-finite Whittaker functions are of finite order one
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.
On automorphic L-functions for the Jacobi group of degree one and a relation with L-functions for Jacobi forms.
On modified asymptotic series involving confluent hypergeometric functions.
On some Mixture Distributions
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)
SO(2,1)-Invariant Double Integral Transforms and Formulas for the Whittaker Functions
MSC 2010: 33C15, 33C05, 33C45, 65R10, 20C40The paper contains some new formulas involving the Whittaker functions and arising as the values of some double integrals, which are invariant with respect to the representation of the group SO(2; 1).
Some bounding inequalities for the Jacobi and related functions.
Structural and recurrence relations for hypergeometric-type functions by Nikiforov-Uvarov method.
О совместных аппроксимациях Паде функций стилтьесовского типа.