Results 41 to 50 of about 3,368,441 (216)

A study of generalized hypergeometric Matrix functions via two-parameter Mittag–Leffler matrix function

Open Physics, 2022
The main aim of this article is to study a new generalizations of the Gauss hypergeometric matrix and confluent hypergeometric matrix functions by using two-parameter Mittag–Leffler matrix function.
Jain Shilpi, Goyal Rahul, Oros Georgia Irina, Agarwal Praveen, Momani Shaher   +4 more
doaj   +1 more source

Fractional operators with generalized Mittag-Leffler k-function

Advances in Difference Equations, 2019
In this paper, our main aim is to deal with two integral transforms involving the Gauss hypergeometric functions as their kernels. We prove some composition formulas for such generalized fractional integrals with Mittag-Leffler k-function.
Shahid Mubeen, Rana Safdar Ali
doaj   +1 more source

Molecular and Cellular Hallmarks of Age‐Related Vestibular Hair Cell Degeneration

Advanced Science, EarlyView.
This study utilizes single‐cell RNA‐seq transcriptomes, advanced imaging, and electrophysiology to examine universal and cell‐type‐specific aging signatures of vestibular hair cells. The study shows that impaired hair bundle function is a key driver of age‐related vestibular dysfunction.
Samadhi Kulasooriya, Huizhan Liu, Sarath Vijayakumar, Celia Bloom, Zhenhang Xu, Shu Tu, Benjamin J. Borgmeier, Mi Zhou, Litao Tao, Bechara Kachar, David Z. He   +10 more
wiley   +1 more source

Motivic coaction on generalized hypergeometric functions [PDF]

This thesis deals with the motivic coaction and single-valued map for hypergeometric functions. It is known that hypergeometric functions have series expansions whose coefficients can be expressed in terms of multiple zeta values and multiple ...
Kamlesh, Deepak
core   +1 more source

A Class of Extended Fractional Derivative Operators and Associated Generating Relations Involving Hypergeometric Functions

Axioms, 2012
Recently, an extended operator of fractional derivative related to a generalized Beta function was used in order to obtain some generating relations involving the extended hypergeometric functions [1].
H. M. Srivastava, Rakesh K. Parmar, Purnima Chopra   +2 more
doaj   +1 more source

On Hypergeometric Functions and Generalizations of Legendre's Relation

Journal of Mathematical Analysis and Applications, 2001
The authors consider a function introduced by \textit{G. D. Anderson}, \textit{S.-L. Qiu}, \textit{M. K. Vamanamurthu} and \textit{M. Vuorinen} [Pac. J. Math. 192, No. 1, 1-37 (2000; Zbl 0951.33012)], viz., \[ \begin{multlined} {\mathcal L}(a,b,c,r)= {_2F_1}[a- 1,b; c;r]{_2F_1}[a, b;c; 1-r]+ {_2F_1}[a- 1,b; c;1-r]{_2F_1}[a, b;c,r]-\\ {_2F_1}[a, b;c,r ...
Karatsuba, E.A, Vuorinen, M
openaire   +3 more sources

Targeting the KCNC3‐Dependent Anterior Insular‐Lateral Orbitofrontal Cortex Glutamatergic Circuit Attenuates Post‐Traumatic Anxiety

Advanced Science, EarlyView.
Frontal lobe traumatic brain injury is associated with hyperactivity of an insular–orbitofrontal circuit in both patients and mice. By combination of integrating functional imaging, cell‐type–specific circuit manipulation, single‐cell transcriptomics, and whole‐cell recordings, this work identifies the downregulation of the potassium channel KCNC3 in ...
Meng‐Ge Li, Xiao‐Bo Qian, Hai‐Long Zhang, Di Li, Ling Ji, Xin‐Chun Xu, Jia‐Sheng Ding, Li‐Jun Yin, Li Zhang, Guang‐Yin Xu, Rong Gao   +10 more
wiley   +1 more source

Use of generalized hypergeometric functions in analytic stellar models [PDF]

, 1989
The present paper deals with the technique of integration theory of special functions applied to two simple analytic stellar models. We consider two cases, one with a non-linear dependence of the radial density and the other with a generalized energy ...
Kalla, Shyam L., Al-Sagabi, Bader
core  

Evaluation of certain families of log-cosine integrals using hypergeometric function approach and applications [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we provide the analytical solutions of the families of certain definite integrals: ∫₀^π xᵐ{ln(2cos(x/2)}ⁿ dx (m∈ℕ₀ and n∈ℕ), in terms of multiple hypergeometric functions of Kampe de Feriet having the arguments ±1 and Riemann zeta ...
Mohammad Idris Qureshi, Shakir Hussain Malik   +1 more
doaj   +1 more source

On the Zeros of Some Generalized Hypergeometric Functions

Journal of Mathematical Analysis and Applications, 2000
The paper is concerned with the confluent hypergeometric function \[ F= {_pF_p}(a_1,\dots, a_p; b_1,\dots, b_p; z). \] It is assumed that the parameters are real, no numerator parameter equals zero or a negative integer, and the denominator parameters are positive.
Ki, Haseo, Kim, Young-One
openaire   +2 more sources