Free oscillations of water in a circular lake and the modified H-function of several variables with general class of polynomials and Srivastava-Daoust function. (English) Zbl 1420.35222
Summary: V. B. L. Chaurasia and R. Patni [Acta Cienc. Indica, Math. 24, No. 1, 45–50 (1998; Zbl 1243.76011)] have studied the free oscillations of water in a circular lake and the H-function of several variables, the Fox’s H-function with a general class of polynomials. The object of this paper is to discuss the application of certain products involving the classes of polynomials and multivariable polynomials, the Srivastava-Daoust function and the modified multivariable H-function defined by A. K. Singh and Y. N. Prasad [J. Indian Acad. Math. 4, No. 2, 94–100 (1982; Zbl 0513.33006)] in obtaining a solution of the partial differential equation concerning to free oscillations of water in a circular lake. We shall see the particular cases.
MSC:
| 35Q35 | PDEs in connection with fluid mechanics |
| 35C05 | Solutions to PDEs in closed form |
| 33C45 | Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) |
| 33C60 | Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions) |
| 76B15 | Water waves, gravity waves; dispersion and scattering, nonlinear interaction |
Keywords:
modified multivariable H-function; multivariable H-function; general classes of polynomials; Srivastava-Daoust function; oscillations of waterReferences:
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