On the Trigonometric and p-Trigonometric Functions of Elliptical Complex Variables
نویسندگان
چکیده
منابع مشابه
DIFFERENTIABILITY PROPERTIES OF p-TRIGONOMETRIC FUNCTIONS
p-trigonometric functions are generalizations of the trigonometric functions. They appear in context of nonlinear differential equations and also in analytical geometry of the p-circle in the plain. The most important ptrigonometric function is sinp(x). For p > 1, this function is defined as the unique solution of the initial-value problem (|u′(x)|p−2u′(x))′ = (p− 1)|u(x)|p−2u(x), u(0) = 0, u′(...
متن کاملUnderstanding trigonometric functions and complex numbers
Two topics, trigonometric functions and complex numbers, are explained for students who feel that they are scary. This article aims to show how trigonometric functions can be naturally incorporated in our daily lives; and how consistent, beautiful and useful complex numbers are.
متن کاملA Geometric View of Complex Trigonometric Functions
Richard Hammack ([email protected]) received his Ph.D. from the University of North Carolina at Chapel Hill. He developed an early version of this article while an undergraduate art student at Rhode Island School of Design, and it later became part of his master’s thesis at Virginia Commonwealth University. Following positions at Wake Forest University and Randolph-Macon College, he is now an as...
متن کاملOn the Trigonometric Expansion of Elliptic Functions
1. Introduction. The problem of expressing an elliptic function in terms of infinite sums of trigonometric functions has been treated by Hermite,t Briot and Bouquet,% A. C. Dixon § and others. In the present paper we treat the same problem from the point of view of Cauchy's residue theorem in function theory, which is also Briot and Bouquet's starting point, but we differ from these authors in ...
متن کاملOn the Hidden Beauty of Trigonometric Functions
In the unit circle with radius R = E0 = mc2 = 1 we have defined the trigonometric function cos(θ) = v/c. The known trigonometric functions revealed the hidden relationships between sensible energy, latent energy, sensible momentum and latent momentum of the moving object, and the absorbed momentum from outside and the available momentum in the outside of the moving object. We present the trigon...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Advanced Mathematical Sciences
سال: 2020
ISSN: 2651-4001
DOI: 10.33434/cams.789085