Some properties of the generalized Jacobian elliptic functions III. Issue 10 (2nd October 2016)

• Record Type: Journal Article
• Authors: Neuman, Edward
• Is Part Of: Integral transforms and special functions. Volume 27:Issue 10(2016)
• Page Start: 824
• Page End: 834
• Publication Date: 2016-10-02
• Subjects: Generalized Jacobian elliptic functions -- concavity -- logarithmic concavity -- multiplicative concavity -- inequalities -- Wilker-type and Van der Corput inequalities -- R-hypergeometric functions; 33E05 -- 26D07 -- 26A51 -- 26A48; Integral transforms -- Periodicals; Transcendental functions -- Periodicals; Transformations (Mathematics) -- Periodicals; Calculus, Integral -- Periodicals; 515
• DOI: 10.1080/10652469.2016.1210144
• Languages: English
• ISSNs: 1065-2469

Abstract

ABSTRACT: Generalized Jacobian elliptic functions play an important role in study of some bifurcation problems involving one-dimensional p-Laplacian. This paper deals with concavity and monotonicity of those functions. Also, inequalities involving functions discussion are established. In particular, Wilker-type and Van der Corput inequalities are derived.