On the mean of entire functions defined by Dirichlet series with index (p,q)
On the Mean Value of Dirichlet Series.
On the mean values of an analytic function.
Let f(z), , be analytic in the finite disc |z| < R. The growth properties of f(z) are studied using the mean values and the iterated mean values of f(z). A convexity result for the above mean values is obtained and their relative growth is studied using the order and type of f(z).
On the mean values of an entire Dirichlet series of order zero
On the mean values of an entire function represented by Dirichlet series
On the mean values of an entire function represented by Dirichlet series
For entire functions defined by absolutely convergent Dirichlet series, a theorem on their mean values is established which include the results of Kamthan, Juneja and Awasthi.
On the mean values of an entire function represented by Dirichlet series of several complex variables.
On the means of an entire Dirichlet series
On the means of entire Dirichlet series
On the order and type of entire Dirichlet series
On the overconvergence of certain series.
On the Partial Fraction Expansion for 0 (x).
On the radius of convergence of series solutions of a functional equation
On the Ramanujan AGM fraction. II: The complex-parameter case.
On the Ritt order and type of a certain class of functions defined by -Dirichletian elements.
On the Ritt order of a certain class of functions.
On the Space of Analytic Functions of Logarithmic Type t
On the successive remainders of the exponential series.
On the supremum of random Dirichlet polynomials
We study the supremum of some random Dirichlet polynomials , where (εₙ) is a sequence of independent Rademacher random variables, the weights (dₙ) are multiplicative and 0 ≤ σ < 1/2. Particular attention is given to the polynomials , , P⁺(n) being the largest prime divisor of n. We obtain sharp upper and lower bounds for the supremum expectation that extend the optimal estimate of Halász-Queffélec, . The proofs are entirely based on methods of stochastic processes, in particular the metric...
On the Taylor coefficients of the composition of two analytic functions.