EVALUATION OF SOME NON-ELEMENTARY INTEGRALS INVOLVING SINE, COSINE, EXPONENTIAL AND LOGARITHMIC INTEGRALS: PART I

The non-elementary integrals \(\text{Si}_{\beta,\alpha}=\int [\sin{(\lambda x^\beta)}/(\lambda x^\alpha)] dx,\)  \(\beta\ge1,\) \(\alpha\le\beta+1\) and \(\text{Ci}_{\beta,\alpha}=\int [\cos{(\lambda x^\beta)}/(\lambda x^\alpha)] dx,\) \(\beta\ge1,\) \(\alpha\le2\beta+1\), where \(\{\beta,\alpha\}\i...

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Bibliografische gegevens

Hoofdauteur:	Victor Nijimbere
Formaat:	Artigo
Taal:	Inglês
Gepubliceerd in:	Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics 2018-07-01
Reeks:	Ural Mathematical Journal
Onderwerpen:	Non-elementary integrals Sine integral Cosine integral Exponential integral Logarithmic integral Hyperbolic sine integral Hyperbolic cosine integral Hypergeometric functions Asymptotic evaluation Fundamental theorem of calculus
Online toegang:	https://umjuran.ru/index.php/umj/article/view/108
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