East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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APPLICATION OF PRODUCT OF THE MULTIVARIABLE A-FUNCTION AND THE MULTIVARIABLE SRIVASTAVA'S POLYNOMIALS

  • Received : 2018.04.14
  • Accepted : 2018.04.26
  • Published : 2018.05.31
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Abstract

Gautam et al. [9] introduced the multivariable A-function, which is very general, reduces to yield a number of special functions, in particular, the multivariable H-function. Here, first, we aim to establish two very general integral formulas involving product of the general class of Srivastava multivariable polynomials and the multivariable A-function. Then, using those integrals, we find a solution of partial differential equations of heat conduction at zero temperature with radiation at the ends in medium without source of thermal energy. The results presented here, being very general, are also pointed out to yield a number of relatively simple results, one of which is demonstrated to be connected with a known solution of the above-mentioned equation.

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References

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