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[PDF] Top 20 Some Uniqueness Results of Q Shift Difference Polynomials Involving Sharing Functions

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Some Uniqueness Results of Q Shift Difference Polynomials Involving Sharing Functions

Some Uniqueness Results of Q Shift Difference Polynomials Involving Sharing Functions

... obtain some important results about the uniqueness of specific q-shift difference polynomials of meromorphic functions by Nevanlinna and value distribution theory ... See full document

11

Meromorphic functions sharing small functions with their linear difference polynomials

Meromorphic functions sharing small functions with their linear difference polynomials

... Recently, a number of papers have focused on the Nevanlinna theory with respect to difference operators; see, e.g., the papers [, ] by Chiang and Feng and [, ] by Halburd and Korhonen. Then, many authors started to ... See full document

6

Zeros and value sharing results for q-shifts difference and differential polynomials

Zeros and value sharing results for q-shifts difference and differential polynomials

... Meromorphic functions is an important part of Nevan- linna ...to difference operators. This has lead to development of difference counterparts of many central results of Nevanlinna theory as ... See full document

11

Some results on zeros and the uniqueness of one certain type of high difference polynomials

Some results on zeros and the uniqueness of one certain type of high difference polynomials

... meromorphic functions f (z) and g(z) share the value a IM (ignoring multiplicities) if f (z) – a and g(z) – a have the same ...polynomial Q(z, f ) is called a differential-difference polynomial in f if ... See full document

12

Value Distributions and Uniqueness of Difference Polynomials

Value Distributions and Uniqueness of Difference Polynomials

... meromorphic functions f and g share a finite value a IM ignoring multiplicities when f − a and g − a have the same ...fundamental results of Nevanlinna Theory ... See full document

12

Some results about a special nonlinear difference equation and uniqueness of difference polynomial

Some results about a special nonlinear difference equation and uniqueness of difference polynomial

... nonlinear difference equation solutions of finite order entire ...and uniqueness of difference polynomials of meromorphic ...Our results which improve the results of Yang and ... See full document

10

Zeros and value sharing results for q-shifts difference and differential polynomials

Zeros and value sharing results for q-shifts difference and differential polynomials

... Meromorphic functions is an important part of Nevan- linna ...to difference operators. This has lead to development of difference counterparts of many central results of Nevanlinna theory as ... See full document

11

Uniqueness of entire functions sharing two values with their difference operators

Uniqueness of entire functions sharing two values with their difference operators

... The uniqueness of meromorphic functions sharing values with their shifts or difference operators has become a subject of great interest ...value sharing problems for shifts of meromorphic ... See full document

9

Uniqueness of meromorphic functions with their reduced linear c shift operators sharing two or more values or sets

Uniqueness of meromorphic functions with their reduced linear c shift operators sharing two or more values or sets

... obtained in the paper significantly improve a number of existing results. Further, using the notion of weighted sharing of sets, we deal the same problem. We exhibit a handful number of examples to justify ... See full document

23

On the value distribution and uniqueness of difference polynomials of meromorphic functions

On the value distribution and uniqueness of difference polynomials of meromorphic functions

... and uniqueness of com- plex difference polynomials of meromorphic ...fundamental results and the standard notations of the Nevanlinna value distribution theory of meromorphic functions are used ... See full document

15

The zeros of q shift difference polynomials of meromorphic functions

The zeros of q shift difference polynomials of meromorphic functions

... In this paper, we shall assume that the reader is familiar with the fundamental results and the standard notation of the Nevanlinna value distribution theory of meromorphic func- tions (see [, ]). The term ... See full document

10

Properties of q shift difference differential polynomials of meromorphic functions

Properties of q shift difference differential polynomials of meromorphic functions

... and q-differences in the complex plane C , and a number of papers (including [–]) have focused on the value distribution and uniqueness of differences and differences operator analogs of Nevanlinna ... See full document

16

13. Meromorphic functions that share fixed points with finite weights

13. Meromorphic functions that share fixed points with finite weights

... In the paper, we will prove two theorems second of which will not only improve Theorem G by relaxing the nature of sharing the fixed point and at the same time provide a supplementary and generalized result of ... See full document

13

23. Some Further results on the Unique Range Sets Of Meromorphic Functions

23. Some Further results on the Unique Range Sets Of Meromorphic Functions

... to uniqueness theory has been to considering weighted shar- ing instead of sharing IM/CM which implies a gradual change from sharing IM to sharing ...weighted sharing has been ... See full document

12

Value distribution of difference and q difference polynomials

Value distribution of difference and q difference polynomials

... Throughout the paper, we assume that the reader is familiar with the standard symbols and fundamental results of Nevanlinna theory as found in [–]. A function f (z) is called the meromorphic function, if it is ... See full document

9

Some Uniqueness Results for Langevin Equations Involving Two Fractional Orders

Some Uniqueness Results for Langevin Equations Involving Two Fractional Orders

... l = The existence of solutions was gave by using Leray-Schauder nonlinear alternative. Further, the uniqueness of solutions was also obtained by using Banach contraction principle. Recently, the author [11] ... See full document

14

Some identities involving q poly tangent numbers and polynomials and distribution of their zeros

Some identities involving q poly tangent numbers and polynomials and distribution of their zeros

... , q = /, and k = . In Figure  (top-right), we choose n = , q = –/, and k = ..., q = /, and k = –. In Figure  (bottom-right), we choose n = , q = –/, and k = ... See full document

14

Existence and uniqueness results for q fractional difference equations with p Laplacian operators

Existence and uniqueness results for q fractional difference equations with p Laplacian operators

... Motivated by the previously mentioned works, we will consider the existence of solu- tions of q-fractional p-Laplacian BVP with two-point boundary conditions. The main dif- ficulty is that, for p = , it is ... See full document

13

Some new results for the (p,q) Fibonacci and Lucas polynomials

Some new results for the (p,q) Fibonacci and Lucas polynomials

... The polynomials defined recursively over the integers, such as the Dickson polynomials, Chebychev polynomials, Fibonacci polynomials and Lucas polynomials, have been exten- sively ... See full document

15

Some  results  on $q$-ary  bent  functions

Some results on $q$-ary bent functions

... bent functions. We provide a construction of quaternary (q = 4) bent functions on n + 1 variables in terms of their subfunctions on ...Boolean functions are defined in the generalized setup. ... See full document

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