Results 41 to 50 of about 2,865 (170)

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   +2 more sources

Vibration analysis of liquid in an axisymmetric tank covered by a diaphragm

Mechanical Engineering Journal, 2022
The vibration of liquid in an axisymmetric tank covered by an elastic diaphragm is analyzed and an equivalent mechanical model for the coupled oscillation of the liquid and the diaphragm is developed.
Masahiko UTSUMI
doaj   +1 more source

Hilbert inequality and Gaussian hypergeometric functions [PDF]

Journal of Mathematical Inequalities, 2009
By using the integral representation of Gaussian hypergeometric function, we obtain Hilbert type inequalities with some fractional kernels and non-conjugate parameters. Such inequalities include the constant factors expressed in terms of hypergeometric functions. Further, we obtain the best possible constants for some general cases, in conjugate case.
openaire   +2 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

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

HLA‐DR+ Schwann Cells Generate the Protumor Cancer‐Neuron‐Immune Niche in Head and Neck Squamous Cell Carcinoma

Advanced Science, EarlyView.
Hijacked and educated by HNSCC cells, HLA‐DR+ Schwann cells lost their normal neural‐related functions but acquired immunoregulatory phenotypes to promote CD4+ T cells transform into Tregs. HLA‐DR+ Schwann cells induced a macrophage subpopulation, Il1β.
Xiaoyan Meng, Zhonglong Liu, Shijian Zhang, Luoman Gan, Liren Cao, Jingjing Sun, Lingfang Zhang, Yue He   +7 more
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

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

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

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