When studying the boundary value problems’ solvability for some partial differential equations encountered in applied mathematics, we frequently need to create systems of partial differential equations and explicitly construct linearly independent ...
Ainur Ryskan+3 more
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Decomposition formulas associated with the multivariable confluent hypergeometric functions [PDF]
The main object of this work is to show how some rather elementary techniques based upon certain inverse pairs of symbolic operators would lead us easily to several decomposition formulas associated with confluent hypergeometric functions of two and more variables.
arxiv
New solutions to the confluent Heun equation and quasiexact solvability [PDF]
We construct new solutions in series of confluent hypergeometric functions for the confluent Heun equation (CHE). Some of these solutions are applied to the one-dimensional stationary Schr\"{o}dinger equation with hyperbolic and trigonometric quasiexactly solvable potentials.
arxiv
Integrals containing confluent hypergeometric functions with applications to perturbed singular potentials [PDF]
Nasser Saad, Richard L. Hall
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Explicit Expressions for Most Common Entropies. [PDF]
Nadarajah S, Kebe M.
europepmc +1 more source
Some Volterra-Type Fractional Integro-Differential Equations with a Multivariable Confluent Hypergeometric Function as Their Kernel [PDF]
H. M. Srivastava, R. K. Saxena
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On evaluating the efficiency of the delta-lognormal mean estimator and predictor. [PDF]
Aubry P.
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Solution of Volterra‐type integro‐differential equations with ageneralized Lauricella confluent hypergeometric function in the kernels [PDF]
R. K. Saxena, S. L. Kalla
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Recurrence and Eigenfunction Methods for Non-Trivial Models of Discrete Binary Choice. [PDF]
Holehouse J.
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At present, the results of the study of boundary value problems for the two-dimensional Helmholtz equation with one and two singular coefficients are known.
Arzikulov, Z.O.
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