Some new results depending upon the comparative growth rates of composite entire and meromorphic ... more Some new results depending upon the comparative growth rates of composite entire and meromorphic function
Let is the -algebra of entire functions defined on a complete ultrametric algebraically closed fi... more Let is the -algebra of entire functions defined on a complete ultrametric algebraically closed field . For a p-adic entire function and for r > 0, sup{| f (x)|:|x|= r} is denoted by | f |(r), where |⋅|(r) is a multiplicative norm on . Taking φ(r): [0, +∞) → (0, +∞) as a non-decreasing unbounded function of r, in this paper we develop some results of composite p-adic entire functions in terms of their relative (p, q) – φ order and relative (p, q) - φ lower order along with relative (p, q) - φ type and relative (p, q) - φ weak type, where p, q are two positive integers.
In this paper we discussed some growth properties of entire functions of several complex variable... more In this paper we discussed some growth properties of entire functions of several complex variables on the basis of (p, q)φ relative Gol’dberg type and (p, q)-φ relative Gol’dberg weal type where p , q are positive integers and φ(R) : [0,+∞)→ (0,+∞) is a non-decreasing unbounded function.
The principal objective of this paper is to introduce the ideas of relative $\varphi $-type, rela... more The principal objective of this paper is to introduce the ideas of relative $\varphi $-type, relative $\varphi $-weak type of entire functions of several complex variables and study some growth properties concerning them.
In this paper we discussed some growth properties of entire functions of several complex variable... more In this paper we discussed some growth properties of entire functions of several complex variables on the basis of $(p,q)$-$\varphi $ relative Gol'dberg type and $(p,q)$-$\varphi $ relative Gol'dberg weal type where $p$ , $q$ are positive integers and $\varphi (R):[0,+\infty )\rightarrow (0,+\infty )$ is a non-decreasing unbounded function.
International Journal of Mathematical Archive, 2014
I n this paper we discuss some comparative growth estimates of composite entire and meromorphic f... more I n this paper we discuss some comparative growth estimates of composite entire and meromorphic functions and a special type of differential polynomial as considered by Bhooshnurmath and Prasad [4] and generated by one of the factors of the composition.
Poincare Journal of Analysis and Applications, 2020
In this paper we wish to prove some results relating to the growth rates of maximum modulus and m... more In this paper we wish to prove some results relating to the growth rates of maximum modulus and maximum terms of composition of two entire functions with their corresponding left and right factors on the basis of their generalized order (α, β) and generalized lower order (α, β) where α and β are continuous non-negative functions on (−∞, +∞).
Some new results depending upon the comparative growth rates of composite entire and meromorphic ... more Some new results depending upon the comparative growth rates of composite entire and meromorphic function
Let is the -algebra of entire functions defined on a complete ultrametric algebraically closed fi... more Let is the -algebra of entire functions defined on a complete ultrametric algebraically closed field . For a p-adic entire function and for r > 0, sup{| f (x)|:|x|= r} is denoted by | f |(r), where |⋅|(r) is a multiplicative norm on . Taking φ(r): [0, +∞) → (0, +∞) as a non-decreasing unbounded function of r, in this paper we develop some results of composite p-adic entire functions in terms of their relative (p, q) – φ order and relative (p, q) - φ lower order along with relative (p, q) - φ type and relative (p, q) - φ weak type, where p, q are two positive integers.
In this paper we discussed some growth properties of entire functions of several complex variable... more In this paper we discussed some growth properties of entire functions of several complex variables on the basis of (p, q)φ relative Gol’dberg type and (p, q)-φ relative Gol’dberg weal type where p , q are positive integers and φ(R) : [0,+∞)→ (0,+∞) is a non-decreasing unbounded function.
The principal objective of this paper is to introduce the ideas of relative $\varphi $-type, rela... more The principal objective of this paper is to introduce the ideas of relative $\varphi $-type, relative $\varphi $-weak type of entire functions of several complex variables and study some growth properties concerning them.
In this paper we discussed some growth properties of entire functions of several complex variable... more In this paper we discussed some growth properties of entire functions of several complex variables on the basis of $(p,q)$-$\varphi $ relative Gol'dberg type and $(p,q)$-$\varphi $ relative Gol'dberg weal type where $p$ , $q$ are positive integers and $\varphi (R):[0,+\infty )\rightarrow (0,+\infty )$ is a non-decreasing unbounded function.
International Journal of Mathematical Archive, 2014
I n this paper we discuss some comparative growth estimates of composite entire and meromorphic f... more I n this paper we discuss some comparative growth estimates of composite entire and meromorphic functions and a special type of differential polynomial as considered by Bhooshnurmath and Prasad [4] and generated by one of the factors of the composition.
Poincare Journal of Analysis and Applications, 2020
In this paper we wish to prove some results relating to the growth rates of maximum modulus and m... more In this paper we wish to prove some results relating to the growth rates of maximum modulus and maximum terms of composition of two entire functions with their corresponding left and right factors on the basis of their generalized order (α, β) and generalized lower order (α, β) where α and β are continuous non-negative functions on (−∞, +∞).
Uploads
Papers by Ritam Biswas