We define a new class of exponential starlike functions constructed by linear operator involving normalized form the generalized Struve function. Making use technique differential subordination introduced Miller and Mocanu, we investigate several results related to Briot–Bouquet subordinations for also obtain univalent solutions equations observe that these are best dominant function class. Mor...

In this paper we introduce a certain general class Φp (a, c, A,B) (β ≥ 0, a > 0, c > 0, −1 ≤ B < A ≤ 1, p ∈ N = {1, 2, ...}) of multivalent analytic functions in the open unit disc U = {z : |z| < 1} involving the linear operator Lp(a, c). The aim of the present paper is to investigate various properties and characteristics of this class by using the techniques of Briot-Bouquet differential subo...

The logarithmic coefficients play an important role for different estimates in the theory of univalent functions. Due to significance recent studies about coefficients, problem obtaining sharp bounds modulus these has received attention. In this research, we obtain inequality involving functions well-known class G and investigate a majorization belonging family. To prove our main results, use B...

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 ...

Applying the Briot-Bouquet theorem we show that there exists an unique analytic solution to the equation ( tΦp (y ′) ) ′ +(−1)tΦq(y) = 0, on (0, a), where Φr(y) := |y| r−1 y, 0 < r, p, q ∈ R, i = 0, 1, 1 ≤ n ∈ N, a is a small positive real number. The initial conditions to be added to the equation are y(0) = A 6= 0, y′(0) = 0, for any real number A. We present a method how the solution can be e...

The seminal 1969 paper of W. A. Harris, Jr., Y. Sibuya, and L. Weinberg provided new proofs for the Perron-Lettenmeyer theorem, as well as several other classical results, and has stimulated renewed consideration of families of regular solutions of certain singular problems. In this paper we give some further applications of the method developed there and, in addition, examine some connections ...