Application of incomplete H–functions in determination of Lambert’s law

Abstract

We derived the Lambert’s law for incomplete H-functions(IHF’s). The IHF’s are very general in nature, so the results of the present work are very useful in derivation of several new and known results having applications in science and engineering. Further, we point out some new particular cases by giving specific values to the parameters in IHF’s (incomplete Fox Wright functions, incomplete generalized hypergeometric functions, Fox’s H-Function and Fox Wright functions) and also indicated some known results.

Subject Classification: (2010):

• 33C60
• 33B15
• 33D15
• 33D70

Keywords:

• Incomplete H-functions
• Gamma Function
• Fox Wright function
• Mellin-Barnes type integrals