Results 1 to 10 of about 145 (109)

Some Convergent Summation Theorems For Appell’s Function F1 Having Arguments −1, 1/2 [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2022
In this paper, we obtain some closed forms of hypergeometric summation theorems for Appell’s function of first kind F1 having the arguments −1, 1/2 with suitable convergence conditions, by adjustment of parameters and arguments in generalized ...
M.I. Qureshi, M.S. Baboo, A. Ahmad
doaj   +4 more sources

Generalized bivariate beta distributions involving Appell’s hypergeometric function of the second kind

Computers & Mathematics with Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Orozco-Castañeda, Johanna Marcela, Nagar, Daya K., Gupta, Arjun K.   +2 more
openaire   +3 more sources

Some multiple Gaussian hypergeometric generalizations of Buschman-Srivastava theorem [PDF]

International Journal of Mathematics and Mathematical Sciences, 2005
Some generalizations of Bailey's theorem involving the product of two Kummer functions 1F1 are obtained by using Watson's theorem and Srivastava's identities.
M. I. Qureshi, M. S. Khan, M. A. Pathan
semanticscholar   +5 more sources

Analytical expression for the exact curved surface area and volume of hyperboloid of two sheets via Mellin-Barnes type contour integration [PDF]

Journal of Mahani Mathematical Research, 2023
In this article, we aim at obtaining the analytical expression (not previously found and recorded in the literature) for the exact curved surface area of a hyperboloid of two sheets in terms of Appell's double hypergeometric function of second kind and ...
M.A. Pathan, M. Qureshi, Javid Majid
doaj   +1 more source

Appell Hypergeometric Expansions of the Solutions of the General Heun Equation [PDF]

Constructive approximation, 2018
Starting from a second-order Fuchsian differential equation having five regular singular points, an equation obeyed by a function proportional to the first derivative of the solution of the Heun equation, we construct several expansions of the solutions ...
A. Ishkhanyan
semanticscholar   +2 more sources

Biorthogonal Approach to Infinite Dimensional Fractional Poisson Measure [PDF]

Infinite Dimensional Analysis Quantum Probability and Related Topics, 2022
In this paper we use a biorthogonal approach to the analysis of the infinite dimensional fractional Poisson measure $\pi_{\sigma}^{\beta ...
Jerome B. Bendong, Sheila M. Menchavez, Jose Luis da Silva   +2 more
semanticscholar   +1 more source

A two-parameter generalization of the complete elliptic integral of second kind [PDF]

, 2007
A two-parameter generalization of the complete elliptic integral of second kind is expressed in terms of the Appell function F4. This function is further reduced to a quite simple bilinear form in the complete elliptic integrals K and E.
V. Barsan
semanticscholar   +1 more source

Correction to: Optical variability of quasars with 20-year photometric light curves [PDF]

Monthly notices of the Royal Astronomical Society, 2022
We study the optical $gri$ photometric variability of a sample of 190 quasars within the SDSS Stripe 82 region that have long-term photometric coverage during $\sim 1998-2020$ with SDSS, PanSTARRS-1, the Dark Energy Survey, and dedicated follow-up ...
Zach Stone, Yue Shen, C. J. Burke, Yu-Ching Chen, Qian Yang, Xin Liu, R. Gruendl, M. Adamów, F. Andrade-Oliveira, J. Annis, D. Bacon, E. Bertin, S. Bocquet, D. Brooks, D. Burke, A. Rosell, M. Kind, J. Carretero, L. Costa, M. Pereira, J. Vicente, S. Desai, H. Diehl, P. Doel, I. Ferrero, D. Friedel, J. Frieman, J. Garc'ia-Bellido, E. Gaztañaga, D. Gruen, G. Gutiérrez, S. Hinton, D. Hollowood, K. Honscheid, K. Kuehn, N. Kuropatkin, C. Lidman, M. Maia, F. Menanteau, R. Miquel, R. Morgan, F. Paz-Chinch'on, A. Pieres, A. P. Malag'on, M. Rodriguez-Monroy, E. Sanchez, V. Scarpine, S. Serrano, I. Sevilla-Noarbe, E. Suchyta, M. Swanson, G. Tarlé, C. T. D. O. Astronomy, U. I. Urbana-Champaign, National Center for Supercomputing Applications, Center for Astrophysical Surveys, H. C. F. Astrophysics, Instituto de F'isica Te'orica, Universidade Estadual Paulista, L. LIneA, F. N. Laboratory, Institute of Cosmology, Gravitation, U. Portsmouth, Cnrs, Umr 7095, I. Paris, Sorbonne Universit'es, 06 UPMCUnivParis, F. O. Physics, Ludwig-Maximilians-Universitat, D. PhysicsAstronomy, U. London, Kavli Institute for Particle AstrophysicsCosmology, S. N. Laboratory, Institut de F'isica d'Altes Energies, T. Z. F. O. Science, Technology, O. Nacional, D. Physics, U. Michigan, A. Arbor, H. Sternwarte, U. Hamburg, Centro de Investigaciones Energ'eticas, Medioambientales y Tecnol'ogicas, Iit Hyderabad, Institute of Theoretical Astrophysics, U. Oslo, Instituto de Fisica Teorica Uamcsic, U. A. D. Madrid, I. D. E. D. Catalunya, Institute of Space Sciences, Campus Uab, S. O. Mathematics, Physics, U. Queensland, Santa Cruz Institute for Particle Physics, Center for Particle Cosmology, Astro-particle Physics, T. O. S. University, Australian Astronomical Optics, Macquarie University, L. Observatory, Centre for Gravitational Astrophysics, College of Materials Science, The Australian National University, T. D. O. Astronomy, Astrophysics, Australian National University, I. C. D. R. I. E. Avanccats, P. Department, U. Wisconsin--Madison, I. O. Astronomy, U. Cambridge, D. Sciences, P. University, Computer Science, M. Division, Oak Ridge National Laboratory, Waldorf High School of Massachusetts Bay   +120 more
semanticscholar   +1 more source

Boole-Dunkl polynomials and generalizations

RACSAM, 2023
Appell sequences of polynomials can be extended to the Dunkl context replacing the ordinary derivative by the Dunkl operator on the real line, and the exponential function by the Dunkl kernel.
Alejandro Gil Asensi, Edgar Labarga, Judit Mínguez Ceniceros, J. Varona   +3 more
semanticscholar   +1 more source

Analytical expression for continuum–continuum transition amplitude of hydrogen-like atoms with angular-momentum dependence [PDF]

Journal of Physics B: Atomic, Molecular and Optical Physics
Attosecond chronoscopy typically utilises interfering two-photon transitions to access the phase information. Simulating these two-photon transitions is challenging due to the continuum–continuum transition term.
Jiabao Ji, Kiyoshi Ueda, Meng Han, Hans Jakob Wörner   +3 more
semanticscholar   +1 more source