Critical diapause portion for oscillations: Parametric trigonometric functions and their applications for Hopf bifurcation analyses
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5424
Abstract: An important adaptive mechanism for ticks in respond to variable climate is diapause. Incorporating this physiological mechanism into a tick population dynamics model results in a delay differential system with multiple delays. Here, we consider… read more here.
Keywords: diapause portion; trigonometric functions; hopf bifurcation; parametric trigonometric ... See more keywords
Generalized Trigonometric Functions and Matrix Parameterization
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-017-0427-0
Abstract: The generalized trigonometric functions (GTF) have been introduced using an appropriate redefinition of Euler type identities involving non-standard forms of imaginary numbers, realized by different types of matrices. In this paper we use the GTF… read more here.
Keywords: functions matrix; matrix parameterization; generalized trigonometric; trigonometric functions ... See more keywords
Basis and regularity properties of (p,q)-trigonometric functions and the decay of (p,q)-Fourier coefficients
Sign Up to like & getrecommendations! Published in 2018 at "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences"
DOI: 10.1098/rspa.2017.0548
Abstract: The basis and regularity properties of the generalized trigonometric functions sinp,q and cosp,q are investigated. Upper bounds for the Fourier coefficients of these functions are given. Conditions are obtained under which the functions cosp,q generate… read more here.
Keywords: basis; fourier coefficients; trigonometric functions; basis regularity ... See more keywords
Padé approximants for inverse trigonometric functions and their applications
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1310-6
Abstract: The Padé approximation is a useful method for creating new inequalities and improving certain inequalities. In this paper we use the Padé approximant to give the refinements of some remarkable inequalities involving inverse trigonometric functions,… read more here.
Keywords: inverse trigonometric; applications pad; functions applications; trigonometric functions ... See more keywords
Identities and relations for special numbers and polynomials: An approach to trigonometric functions
Sign Up to like & getrecommendations! Published in 2020 at "Filomat"
DOI: 10.2298/fil2002535k
Abstract: In this paper, by using trigonometric functions and generating functions, identities and relations associated with special numbers and polynomials are derived. Relations among the combinatorial numbers, the Bernoulli polynomials, the Euler numbers, the Stirling numbers… read more here.
Keywords: special numbers; numbers polynomials; identities relations; trigonometric functions ... See more keywords
Explicit Properties of Apostol-Type Frobenius–Euler Polynomials Involving q-Trigonometric Functions with Applications in Computer Modeling
Sign Up to like & getrecommendations! Published in 2023 at "Mathematics"
DOI: 10.3390/math11102386
Abstract: In this article, we define q-cosine and q-sine Apostol-type Frobenius–Euler polynomials and derive interesting relations. We also obtain new properties by making use of power series expansions of q-trigonometric functions, properties of q-exponential functions, and… read more here.
Keywords: trigonometric functions; apostol type; euler polynomials; frobenius euler ... See more keywords