Results 51 to 60 of about 5,426,135 (190)

On Certain Sufficient Condition Involving Gaussian Hypergeometric Functions

International Journal of Mathematics and Mathematical Sciences, 2009
The authors define a new subclass of 𝒜 of functions involving complex order in the open unit disk 𝕌. For this new class, we obtain certain inclusion properties involving the Gaussian hypergeometric functions.
Herb Silverman, Thomas Rosy, Seetharaman Kavitha   +2 more
openaire   +3 more sources

Inclusion Theorems of Certain Integral Transform Related to Normalized Hypergeometric Functions and Generalized Bessel Functions

International Journal of Mathematics and Mathematical Sciences
This study explores the geometric properties of normalized Gaussian hypergeometric functions in a certain subclass of analytic functions. This work investigates the inclusion properties of integral operators associated with generalized Bessel functions ...
Manas Kumar Giri, Raghavendar K.
doaj   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

Continuous-Curvature Path Generation Using Fermat's Spiral [PDF]

Modeling, Identification and Control, 2013
This paper proposes a novel methodology, based on Fermat's spiral (FS), for constructing curvature-continuous parametric paths in a plane. FS has a zero curvature at its origin, a property that allows it to be connected with a straight line smoothly ...
Anastasios M. Lekkas, Andreas Reason Dahl, Morten Breivik, Thor I. Fossen   +3 more
doaj   +1 more source

Sufficiency for Gaussian hypergeometric functions to be uniformly convex [PDF]

International Journal of Mathematics and Mathematical Sciences, 1999
Let F(a, b; c; z) be the classical hypergeometric function and f be a normalized analytic functions defined on the unit disk 𝒰. Let an operator Ia,b;c(f) be defined by [Ia,b;c(f)](z) = zF(a, b; c; z)*f(z). In this paper the authors identify two subfamilies of analytic functions ℱ1 and ℱ2 and obtain conditions on the parameters a, b, c such that f ∈ ℱ1 ...
Yong Chan Kim, S. Ponnusamy
openaire   +3 more sources

Dark diversity of flea (Siphonaptera) assemblages in South American rodents: Latitudinal and altitudinal gradients

Ecological Entomology, Volume 51, Issue 5, Page 983-992, October 2026.
The dark diversity of compound flea communities increased from north to south. The dark diversity of compound flea communities increased from lower to higher altitudes. The dark diversity of component flea communities also increased from north to south but did not vary with altitude.
Juliana P. Sanchez, M. Fernanda López Berrizbeitia, Boris R. Krasnov   +2 more
wiley   +1 more source

On Some Formulas for the Lauricella Function

Mathematics, 2023
Lauricella, G. in 1893 defined four multidimensional hypergeometric functions FA, FB, FC and FD. These functions depended on three variables but were later generalized to many variables.
Ainur Ryskan, Tuhtasin Ergashev
doaj   +1 more source

A Stochastic Approach for Recovery Times of Coastal Dune Vegetation

Geophysical Research Letters, Volume 53, Issue 17, 16 September 2026.
Abstract The resilience of coastal dunes to environmental stress largely depends on vegetation recovery, which promotes sediment trapping and sand stabilization. However, post‐disturbance recovery dynamics remain difficult to quantify due to the complex interplay between biotic and abiotic processes.
D. Demichele, C. Camporeale
wiley   +1 more source

A representation in terms of hypergeometric functions for the temperature field in a semi-infinite body that is heated by a motionless laser beam

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
We have considered an analytical expression for the temperature field of a semi-infinite body that is heated by a circular heat source located at the free surface.
V. V. Manako
doaj   +3 more sources

Monotonicity properties and bounds involving the two-parameter generalized Grötzsch ring function

Journal of Inequalities and Applications, 2020
In the article, we present several new monotonicity properties and bounds involving the generalized Grötzsch ring functions μ a , b $\mu _{a,b}$ in the theory of Ramanujan’s generalized modular equation for 0 < a , b < 1 $0< a ...
Guo-Jing Hai, Tie-Hong Zhao
doaj   +1 more source