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A Connection Formula for the q-Confluent Hypergeometric Function [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2013
We show a connection formula for the $q$-confluent hypergeometric functions ${}_2varphi_1(a,b;0;q,x)$. Combining our connection formula with Zhang's connection formula for ${}_2varphi_0(a,b;-;q,x)$, we obtain the connection formula for the $q$-confluent ...
Takeshi Morita
doaj   +6 more sources

Properties of Matrix Variate Confluent Hypergeometric Function Distribution [PDF]

open access: yesJournal of Probability and Statistics, 2016
We study matrix variate confluent hypergeometric function kind 1 distribution which is a generalization of the matrix variate gamma distribution. We give several properties of this distribution. We also derive density functions of X2-1/2X1X2-1/2, (X1+X2)-
Arjun K. Gupta   +2 more
doaj   +2 more sources

Some Inequalities of Extended Hypergeometric Functions

open access: yesMathematics, 2021
Hypergeometric functions and their inequalities have found frequent applications in various fields of mathematical sciences. Motivated by the above, we set up certain inequalities including extended type Gauss hypergeometric function and confluent ...
Shilpi Jain   +3 more
doaj   +2 more sources

Some Results of Extended Beta Function and Hypergeometric Functions by Using Wiman’s Function

open access: yesMathematics, 2021
The main aim of this research paper is to introduce a new extension of the Gauss hypergeometric function and confluent hypergeometric function by using an extended beta function.
Shilpi Jain   +4 more
doaj   +2 more sources

Fractional Integral of the Confluent Hypergeometric Function Related to Fuzzy Differential Subordination Theory

open access: yesFractal and Fractional, 2022
The fuzzy differential subordination concept was introduced in 2011, generalizing the concept of differential subordination following a recent trend of adapting fuzzy sets theory to other already-established theories.
Mugur Acu   +2 more
doaj   +2 more sources

Univalence of Gaussian and confluent hypergeometric functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1990
Conditions are determined for the univalence convexity and starlikeness of Gaussian and confluent hypergeometric functions. In addition, subordination results are obtained for these classes of functions.
Sanford S. Miller, Petru T. Mocanu
core   +3 more sources

Confluent hypergeometric functions

open access: yes, 2016
The confluent hypergeometric differential equation xy"+(c-x)y'-a=0 has a regular singular point at x=0 and an essential singularity at x=∞Componente Curricular::Educação Superior::Ciências Exatas e da Terra ...
Blinder, S. M.
core   +3 more sources

Confluent hypergeometric functions

open access: yes, 2011
The confluent hypergeometric differential equation xy"+(c-x)y'-a=0 has a regular singular point at x=0 and an essential singularity at x=∞Componente Curricular::Educação Superior::Ciências Exatas e da Terra ...
Blinder, S. M.
core   +3 more sources

Summation identities for the Kummer confluent hypergeometric function 1F1(a; b;z)

open access: yesKuwait Journal of Science, 2023
The role which hypergeometric functions have in the numerical and symbolic calculation, especially in the fields of applied mathematics and mathematical physics motivated research in this paper.
Gradimir V. Milovanović   +2 more
doaj   +2 more sources

Confluent hypergeometric functions

open access: yes, 2008
The confluent hypergeometric differential equation xy"+(c-x)y'-a=0 has a regular singular point at x=0 and an essential singularity at x=∞Componente Curricular::Educação Superior::Ciências Exatas e da Terra ...
Blinder, S. M.
core   +2 more sources

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