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Displaying 21 – 40 of 41

On the growth rate of certain families of entire functions.

L.D. Neidlemann (1976)

Journal für die reine und angewandte Mathematik

On the lower order $(R)$ of an entire Dirichlet series

P. K. Jain, D. R. Jain (1974)

Annales de l'institut Fourier

The estimations of lower order $(R)$ $λ$ in terms of the sequences ${a_{n}}$ and ${λ_{n}}$ for an entire Dirichlet series $f (s) = \sum_{n = 1}^{\infty} a_{n} e^{s λ n}$ , have been obtained, namely : $\begin{matrix} λ & = max_{{λ_{n_{p}}}} lim inf_{p \to \infty} \frac{λ_{n_{p}} log λ_{n_{p - 1}}}{log | a_{n_{p}} |^{- 1}} \\ = max_{{λ_{n_{p}}}} lim inf_{p \to \infty} \frac{(λ_{n_{p}} - λ_{n_{p - 1}}) log λ_{n_{p - 1}}}{log | a_{n_{p - 1}} | a_{n_{p}} |} . \end{matrix}$ One of these estimations improves considerably the estimations earlier obtained by Rahman (Quart. J. Math. Oxford, (2), 7, 96-99 (1956)) and Juneja and Singh (Math. Ann., 184(1969), 25-29 ).

On the maximum moduli of an entire function and its first derivative

P. K. Jain, V. P. Gupta (1972)

Matematički Vesnik

On the Maximum Modulus and the Maximum term of an Entire Function

S. K. Singh (1978)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

On the maximum modulus and the means of an entire function

S. K. Singh (1976)

Matematički Vesnik

On the maximum term and maximum modulus of analytic functions represented by Dirichlet series

Krishna Nandan (1973)

Annales Polonici Mathematici

On the mean of entire functions defined by Dirichlet series with index (p,q)

Vaish, Satendra Kumar (1983/1984)

Portugaliae mathematica

On the mean values of an entire Dirichlet series of order zero

S. K. Vaish (1980)

Annales Polonici Mathematici

On the mean values of an entire function represented by Dirichlet series

Kamthan, P.K., Jain, P.K. (1985/1986)

Portugaliae mathematica

On the means of an entire Dirichlet series

Satendra Kumar Vaish (1983)

Annales Polonici Mathematici

On the number of zeros of iterated operators on analytic Legendre expansions.

Prather, Carl (2001)

International Journal of Mathematics and Mathematical Sciences

On the order and type of entire Dirichlet series

P. C. Dash (1969)

Matematički Vesnik

On the (p, q)-order and lower (p, q)-order of an entire function.

S.K. Bajpai, O.P. Juneja, G.P. Kapor (1976)

Journal für die reine und angewandte Mathematik

On the (p, q)-type and lower (p, q)-type of an entire function.

S.K. Bajpai, O.P. Juneja, G.P. Kapoor (1977)

Journal für die reine und angewandte Mathematik

On The Proximate Type Of An Entire Function

S. K. Vaish, H. S. Kasana (1982)

Publications de l'Institut Mathématique

On the Ritt order of a certain class of functions.

Parvatham, R., Thangamani, J. (1983)

International Journal of Mathematics and Mathematical Sciences

On the value distribution of differential polynomials of meromorphic functions

Yan Xu, Huiling Qiu (2010)

Annales Polonici Mathematici

Let f be a transcendental meromorphic function of infinite order on ℂ, let k ∈ ℕ and $φ = R e^{P}$ , where R ≢ 0 is a rational function and P is a polynomial, and let $a ₀, a ₁, . . ., a_{k - 1}$ be holomorphic functions on ℂ. If all zeros of f have multiplicity at least k except possibly finitely many, and $f = 0 \Leftrightarrow f^{(k)} + a_{k - 1} f^{(k - 1)} + \dots + a ₀ f = 0$ , then $f^{(k)} + a_{k - 1} f^{(k - 1)} + \dots + a ₀ f - φ$ has infinitely many zeros.

Currently displaying 21 – 40 of 41

Previous Page 2 Next

Displaying 21 – 40 of 41

On the growth rate of certain families of entire functions.

On the lower order $(R)$ of an entire Dirichlet series

On the maximum moduli of an entire function and its first derivative

On the Maximum Modulus and the Maximum term of an Entire Function

On the maximum modulus and the means of an entire function

On the maximum term and maximum modulus of analytic functions represented by Dirichlet series

On the mean of entire functions defined by Dirichlet series with index (p,q)

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 means of an entire Dirichlet series

On the number of zeros of iterated operators on analytic Legendre expansions.

On the order and type of entire Dirichlet series

On the (p, q)-order and lower (p, q)-order of an entire function.

On the (p, q)-type and lower (p, q)-type of an entire function.

On The Proximate Type Of An Entire Function

On the Ritt order of a certain class of functions.

On the value distribution of differential polynomials of meromorphic functions

On the zeros of a class of arithmetical entire functions

On the zeros of the Riemann $ξ$ -function.

Orden relativo de crecimiento de funciones enteras.

Currently displaying 21 – 40 of 41