Title of article :
Analytical expressions for curved surface area of revolution and arc-length of an ellipse: A hypergeometric mechanism
Author/Authors :
Qureshi, M. I. Department of Applied Sciences and Humanities - Faculty of Engineering and Technology - Jamia Millia Islamia (A Central University), New Delhi, India , Akhtar, Naved Department of Applied Sciences and Humanities - Faculty of Engineering and Technology - Jamia Millia Islamia (A Central University), New Delhi, India , Ahamad, Dilshad Department of Applied Sciences and Humanities - Faculty of Engineering and Technology - Jamia Millia Islamia (A Central University), New Delhi, India
Abstract :
In this paper analytical expressions of curved surface area of revolution of an arc between two
arbitrary points lying on an ellipse about major and minor axes and the arc-length between two arbitrary
points lying on an ellipse are obtained in terms of Gauss’ hypergeometric function, Appell’s function of
first kind and Kampe de F ´ eriet’s double hypergeometric function. Moreover, we have also discussed the ´
perimeter of orbit of some known planets and other special cases.
Keywords :
Arc-length , Curved surface area , Ellipse , Generalized Hypergeometric Function , Kampe de ´ Feriet’s double Hypergeometric Function
Journal title :
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
