scholarly journals Bounds for an integral involving the modified Struve function of the first kind

2021 ◽  
pp. 1
Author(s):  
Robert E. Gaunt
Keyword(s):  
Modified Struve Function

scholarly journals Inequalities for Some Integrals Involving Modified Lommel Functions of the First Kind

2019 ◽  
Vol 75 (1) ◽  
Author(s):  
Robert E. Gaunt
Keyword(s):  
Hypergeometric Function ◽  
Generalized Hypergeometric Function ◽  
Double Inequality ◽  
Lommel Functions ◽  
Modified Struve Function ◽  
Lommel Function

AbstractIn this paper, we obtain inequalities for some integrals involving the modified Lommel function of the first kind $$t_{\mu ,\nu }(x)$$tμ,ν(x). In most cases, these inequalities are tight in certain limits. We also deduce a tight double inequality, involving the modified Lommel function $$t_{\mu ,\nu }(x)$$tμ,ν(x), for a generalized hypergeometric function. The inequalities obtained in this paper generalise recent bounds for integrals involving the modified Struve function of the first kind.

scholarly journals New Integrals Arising in the Samara-Valencia Heat Transfer Model in Grinding

2017 ◽  
Vol 2017 ◽  
pp. 1-5
Author(s):  
J. L. González-Santander
Keyword(s):  
Heat Transfer ◽  
Heat Transfer Model ◽  
Transfer Model ◽  
Macdonald Function ◽  
Modified Struve Function

The Samara-Valencia model for heat transfer in grinding has been recently used for calculating nontabulated integrals. Based on these results, new infinite integrals can be calculated, involving the Macdonald function and the modified Struve function.

scholarly journals Functional Inequalities and Monotonicity Results for Modified Lommel Functions of the First Kind

2021 ◽  
Vol 77 (1) ◽  
Author(s):  
Robert E. Gaunt
Keyword(s):  
Functional Inequalities ◽  
Lommel Functions ◽  
Modified Struve Function ◽  
Turán Type Inequalities ◽  
Monotonicity Results

AbstractWe establish some monotonicity results and functional inequalities for modified Lommel functions of the first kind. In particular, we obtain new Turán type inequalities and bounds for ratios of modified Lommel functions of the first kind, as well as the function itself. These results complement and in some cases improve on existing results, and also generalise a number of the results from the literature on monotonicity patterns and functional inequalities for the modified Struve function of the first kind.

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