The aim of this paper is to introduce the hybrid form hyperbolic Horadam function and investigate some its properties such as generating function. Another define sine cosine functions their symmetrical forms. For newly defined functions, recursive relations, derivatives, Cassini De Moivre type identities are examined. In addition, quasi-sine three-dimensional spiral defined.

An addressing technique that is based on modified discrete cosine transform (M-DCT) is proposed to drive RMS responding matrix displays. Time taken to switch from one arbitrary gray shade to another is almost independent of initial and final gray shades. 1. Objective and Background Discrete Cosine Transform (DCT) is capable of achieving a high energy compaction ratio and it is extensively used ...

The directional tuning profiles of motor cortical cells are commonly described by a cosine tuning function with three adjustable parameters (Georgopoulos, A.P., Kalaska. J.F., Crutcher, M.D., Caminiti, R., Massey, J.T., 1982. On the relations between the direction of two-dimensional (2D) arm movements and cell discharge in primate motor cortex. J. Neurosci. 2, 1527-1537). In this study the vari...

This paper proposes a modified sine cosine algorithm (MSCA) for discrete sizing optimization of truss structures. The original sine cosine algorithm (SCA) is a population-based metaheuristic that fluctuates the search agents about the best solution based on sine and cosine functions. The efficiency of the original SCA in solving standard optimization problems of well-known mathematical function...

Kim-Kim (Russ. J. Math. Phys. 2017, 24, 241-248) defined the degenerate Laplace transform and investigated some of their certain properties. Motivated by this study, in paper, we introduce Sumudu establish properties relations. We derive transforms power functions, sine, cosine, hyperbolic exponential function, function derivatives. also acquire a relationship between gamma function. Moreover, ...