Skip to content
Free planNo credit card requiredStart writing
AI for Research home
AI for Research home
Dashboard
Sign inGet started

Search 250 million research papers

Read the abstract, see who wrote it and who cites it, and get the citation in APA, MLA, Chicago or Harvard.

About 658 papers for “multivariable H-function”

MULTIPLE FRACTIONAL DIFFUSIONS VIA MULTIVARIABLE H-FUNCTION

Hemant Kumar, Surya Kant · jnanabha · 2020

In this paper, we introduce a diffusion and wave equation consisting of multidimensional space Riesz-Feller fractional operators and Caputo time fractional derivative. Imposing certain boundary values, we obtain its solution in terms of multivariable H-function and finally making an appeal to our results, we evaluate various multiple fractional diffusions.

Cited by 2Open access

Finite summation formulae for multivariable H-function

Charu Sharma, Roshani Singh · Tamkang Journal of Mathematics · 2010

In the present paper, an attempt has been made to derive finite summation formulae for the $H$-function introduced by H.M. Srivastava and R. Panda [6]. Since the multivariable H- Function includes a large number of a special functions of one and more variables as its particular cases. Therefore, the results established here serve as key formulas giving as a large number of new and interesting results by specializing the parameter involved.

Cited by 0Open access

Multivariable H-Function and Problem Related to Flux Condition

Seema Marskole, S. S. Shrivastava, nstitute for Excellence in Higher Education, Bhopal (M. P.) India · Journal of Ultra Scientist of Physical Sciences Section A · 2016

The aim of this research paper is to derive the solution of a problem related to flux condition involving the multivariable H-function.

Cited by 0Open access

On Transformation Involving Basic Analogue of Multivariable H-Function

Dinesh Kumar, Frédéric Ayant, Jessada Tariboon · Greater South Information System · 2020

In this article, fractional order q-integrals and q-derivatives involving a basic analogue of multivariable H-function have been obtained. We give an application concerning the basic analogue of multivariable H-function and q-extension of the Leibniz rule for the fractional q-derivative for a product of two basic functions. We also give the corollary concerning basic analogue of multivariable Meijer's G-function as a particular case of the main result.

Cited by 2Open access

On Transformation Involving Basic Analogue of Multivariable H-Function

Dinesh Kumar, Frédéric Ayant, Jessada Tariboon · Greater South Information System · 2020

In this article, fractional order q-integrals and q-derivatives involving a basic analogue of multivariable H-function have been obtained. We give an application concerning the basic analogue of multivariable H-function and q-extension of the Leibniz rule for the fractional q-derivative for a product of two basic functions. We also give the corollary concerning basic analogue of multivariable Meijer's G-function as a particular case of the main result.

Cited by 0Open access

Generalized fractional integral operators and the multivariable H-function

Praveen Agarwal, Sergei Rogosin, Erkinjon Karimov et al. · Journal of Inequalities and Applications · 2015

The main object of the present paper is to establish new fractional integral formulas (of Marichev-Saigo-Maeda type) involving the products of the multivariable H-functions and the first class of multivariable polynomials due to Srivastava and Garg. All the results derived here are of general character and can yield a number of (new and known) results in the theory of fractional calculus.

Cited by 14Open access

Heat Conduction in a Square Plate Involving Multivariable H-Function

Nitesh Kumar Sahu · Communications on Applied Nonlinear Analysis · 2024

A rigorous mathematical paradigm incorporating the multivariable H-function is devised to elucidate heat conduction phenomena in square plates. This innovative framework facilitates the derivation of a precise temperature field model, thereby enabling a comprehensive examination of the interplay between plate geometry and heat propagation characteristics. The analytical solution is substantiated through meticulous numerical simulations, underscoring the multivariable H-function's exceptional capability in capturing intricate heat conduction dynamics under disparate boundary conditions. This investigation substantially enhances the theoretical foundations of thermal analysis in square plates, unlocking novel avenues for interdisciplinary applications in engineering and physical sciences.

Cited by 0Open access

Certain multiple integral relations involving multivariable $ H $-function and general polynomials

O. P. Garg, Virendra Kumar · Tamkang Journal of Mathematics · 2001

In this paper, first we obtain a finite integral involving multivariable $ H $-function and general classes of polynomials. Next, with the application of this and a lemma due to Srivastava et al. (1981) we obtain two general multiple integral relations involving the multivariable $ H $-function, general classes of polynomials and two arbitrary function $ f $ and $ g $. Again, by suitably specializing the functions $ f $ and $ g $ occurring in the main integral relations, we have also evaluated multiple integrals which are new and quite general in nature.

Cited by 0Open access