Results 11 to 20 of about 41,148 (275)

Moments of Dirichlet splines and their applications to hypergeometric functions

Journal of Computational and Applied Mathematics, 1994
Dirichlet averages of multivariate functions are employed for a derivation of basic recurrence formulas for the moments of multivariate Dirichlet splines. An algorithm for computing the moments of multivariate simplex splines is presented. Applications to hypergeometric functions of several variables are discussed.
Neuman, Edward, Van Fleet, Patrick J.
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A new class of meromorphically multivalent functions with applications to generalized hypergeometric functions

Mathematical and Computer Modelling, 2006
In this paper the authors define a class of functions \(f(z)\) that are meromorphic, normalized, analytic and \(p\)-valent in the punctured unit disc \(U^*\) and satisfy the subordination \[ \gamma\frac{(f*g)^{(m)}(z)}{(f*h)^{(m)}(z)} \prec \gamma -\frac{p(A-B)z}{1+Bz} \quad (z\in U^*), \] where \(\gamma>0,\) \(0\leq ...
Raina, R. K., Srivastava, H. M.
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Derivatives of Horn-type hypergeometric functions with respect to their parameters [PDF]

, 2017
We consider the derivatives of Horn hypergeometric functions of any number variables with respect to their parameters. The derivative of the function in $n$ variables is expressed as a Horn hypergeometric series of $n+1$ infinite summations depending on ...
Bytev, V., Kniehl, B., Moch, S.
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Certain subclasses of analytic functions defined by a new general linear operator

Известия Иркутского государственного университета: Серия "Математика", 2018
Hypergeometric functions are of special interests among the complex analysts especially in looking at the properties and criteria of univalent. Hypergeometric functions have been around since 1900’s and have special applications according to their own ...
A.R.S. Juma, M. Darus
doaj   +1 more source

Connection coefficients for basic Harish-Chandra series [PDF]

, 2014
Basic Harish-Chandra series are asymptotically free meromorphic solutions of the system of basic hypergeometric difference equations associated to root systems.
Askey, Avan, Batchelor, Behrend, Birkhoff, Chalykh, Chalykh, Chalykh, Cherednik, Cherednik, Cherednik, Cherednik, Cherednik, Cherednik, Cherednik, Cherednik, Cherednik, de Moura, Etingof, Etingof, Etingof, Felder, Filali, Frenkel, Gasper, Gervais, Haiman, Heckman, Heckman, Ismail, Jasper V. Stokman, Jimbo, Jimbo, Jimbo, Kato, Kazarnovski-Krol, Koelink, Konno, Koornwinder, Kulish, Letzter, Macdonald, Macdonald, Matsuo, Noumi, Noumi, Noumi, Opdam, Ruijsenaars, Ruijsenaars, Ruijsenaars, Sahi, Smirnov, Spiridonov, Stokman, Stokman, Stokman, Stokman, Tarasov, van Diejen, van Meer, van Meer, Whittaker   +62 more
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Fractional Integral of the Confluent Hypergeometric Function Related to Fuzzy Differential Subordination Theory

Fractal 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, Gheorghe Oros, Ancuța Maria Rus   +2 more
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Applications of Confluent Hypergeometric Function in Strong Superordination Theory

Axioms, 2022
In the research presented in this paper, confluent hypergeometric function is embedded in the theory of strong differential superordinations. In order to proceed with the study, the form of the confluent hypergeometric function is adapted taking into consideration certain classes of analytic functions depending on an extra parameter previously ...
Georgia Irina Oros, Gheorghe Oros, Ancuța Maria Rus   +2 more
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Multiple zeta values and the WKB method [PDF]

, 2013
The multiple zeta values ζ(d1, . . . , dr ) are natural generalizations of the values ζ(d) of the Riemann zeta functions at integers d. They have many applications, e.g. in knot theory and in quantum physics.
Zakrzewski, Michał, Żołądek, Henryk
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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
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SOME APPLICATIONS OF QUADRUPLE HYPERGEOMETRIC FUNCTIONS IN FUNCTIONS SPACES

, 2022
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A. K. THAKUR, S. K. SAHANI, J. K. KUSHWAHA   +2 more
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