Results 91 to 100 of about 357,419 (186)

Growth theorems and coefficient bounds for g-starlike mappings of complex order λ

open access: yesOpen Mathematics
Let f be a g-starlike mapping of complex order λ such that x = 0 is a zero of order k + 1 of f(x) − x. By utilizing the geometric properties of f, we characterize its growth theorems and coefficient bounds.
Zhang Xiaofei, Han Wei
doaj   +1 more source

On a subclass of p-valent analytic functions involving fractional q-calculus operators

open access: yesKuwait Journal of Science, 2015
In this paper, we consider a new subclass of p-valent analytic functions in the open unitdisk involving a fractional q-differeintegral operator. For this subclass of functions,we derive the coefficient inequality and some distortion theorems.
SUNIL DUTT PUROHIT   +1 more
doaj  

Hankel determinants for q-starlike functions connected with q-sine function

open access: yesDemonstratio Mathematica
This article comprises the study of a new class of starlike functions, which is defined by qq-fractional operator and subordination to the qq-analog of sine function.
Taj Yusra   +4 more
doaj   +1 more source

Bounds for Exponential Sums With Random Multiplicative Coefficients

open access: yesInternational Mathematics Research Notices
Abstract For $f$ a Rademacher or Steinhaus random multiplicative function, we prove that $ \max _{\theta \in [0,1]} \frac{1}{\sqrt{N}} \bigl | \sum _{n \leq N} f(n) \mathrm{e} (n \theta ) \bigr | \gg \sqrt{\log N}$, asymptotically almost surely as $N \rightarrow \infty $.
openaire   +2 more sources

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