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On Closed Forms of Some Trigonometric Series

open access: yesAxioms
We have derived alternative closed-form formulas for the trigonometric series over sine or cosine functions when the immediate replacement of the parameter appearing in the denominator with a positive integer gives rise to a singularity.
Slobodan B. Tričković   +1 more
doaj   +1 more source

Trigonometric Functions in the p-norm

open access: yesMathematics Exchange
Trigonometry is the study of circular functions, which are functions defined on the unit circle x^2 +y^2 = 1, where distances are measured using the Euclidean norm. When distances are measured using the L_p-norm, we get generalized trigonometric functions. These are parametrizations of the unit p-circle |x|^p +|y|^p = 1.
Chebolu, Sunil   +4 more
openaire   +2 more sources

On quantum trigonometric fractional calculus

open access: yesAlexandria Engineering Journal
In this research work, we introduce an innovative concept known as the q-trigonometric derivative within the framework of the Caputo derivative. Our approach begins by introducing a novel notion of a trigonometric q-derivative and thoroughly examining ...
Lakhlifa Sadek, Ali Algefary
doaj   +1 more source

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