FINITENESS PROBLEM OF MEROMORPHIC FUNCTIONS SHARING FOUR SMALL FUNCTIONS REGARDLESS OF MULTIPLICITIES

... real pronunciation of IBD students?  Which problems IBD students often catch?  What are the reasons of the problems?  Can you give some suggested solutions for IBD students? QUESTIONS FOR STUDENTS: ... knowledge, this paper can only focus on some general English pronunciation problems of IBD students at NEU to find out the real of English pronunciation pro...

Ngày tải lên: 15/04/2013, 13:51

... Lack of access to computer  Dissatisfactory school base  Insufficient allocation of application programs Alternatives  Correction of information science course  Simplification of access to computer ... information in the internet  Necessity to ask more advanced people for help  Waste time  Difficulties in employment assistance Causes  Lack of useful information in the...

Ngày tải lên: 26/10/2013, 17:15

... The problem of computer illiteracy as a one of main problems of business students Symptoms The main symptom of the computer illiteracy is an inability in computer working For example, student ... help of PC faster And all we know that computer literacy is on of the main requirement at employment Thus we see that the problem of computer...

Ngày tải lên: 26/10/2013, 17:15

... Banerjee, A: Uniqueness of certain non-linear differential polynomials sharing the same value Int J Pure Appl Math 48, 41–56 (2008) Lahiri, I, Sahoo, P: Uniqueness of meromorphic functions when ... deficiencies of differential polynomials II Math Z 125, 107–112 (1972) doi:10.1007/BF01110921 doi:10.1186/1029-242X-2011-133 Cite this article as: Wu et al.: Uniqueness of...

Ngày tải lên: 20/06/2014, 23:20

... N E Cho and K I Noor, Inclusion properties for certain classes of meromorphic functions associated with the Choi-Saigo-Srivastava operator,” Journal of Mathematical Analysis and Applications, ... Curie-Skłodowska Sectio A, vol 45, pp 89–97, 1991 J.-L Liu and H M Srivastava, A linear operator and associated families of meromorphically multivalent functions, ” Jour...

Ngày tải lên: 21/06/2014, 20:20

... Y C Kim, and H M Srivastava, “The Hardy space of analytic functions associated with certain one-parameter families of integral operators,” Journal of Mathematical Analysis and Applications, vol ... relationships and integral- preserving properties of certain subclasses of meromorphic functions associated with a family of integral operators,” Journal of M...

Ngày tải lên: 22/06/2014, 02:20

... for certain classes of analytic functions of complex order,” Journal of Inequalities in Pure and Applied Mathematics, vol 7, no 4, article 145, pp 1–6, 2006 12 V Karunakaran, “On a class of meromorphic ... Ganigi, “A new criterion for meromorphic convex functions,” Tamkang Journal of Mathematics, vol 19, no 1, pp 43–48, 1988 19 B A Uralegaddi and C Somanatha, Certain...

Ngày tải lên: 22/06/2014, 03:20

... Motivated by the investigation of Shanmugam , Ravichandran , and Ali et al 7, 11 , several subclasses of meromorphic functions defined by means of convolution with a given fixed meromorphic function are ... class of meromorphic functions f of the form z f z ∞ an zn , 1.4 n which are analytic and univalent in the punctured unit disk U∗ {z : < |z| < 1} For ≤ α < 1, we reca...

Ngày tải lên: 22/06/2014, 03:20

... minimum of the function x → (1 + a1 x)2 /(a1 + x) on [1, ∞) is 4a1 (1 − a2 ), we have Q(α) ≥ 4a1 (1 − a2 ), and with this, the proof is complete 1 Proof of Theorem 1.4 In analogy to the proof of Theorem ... solution of a problem of oppeheim,” Mathematical Inequalities & Applications, vol 10, no 1, pp 57–61, 2007 ´ [5] A Baricz, “Functional inequalities involving Bessel and mod...

Ngày tải lên: 22/06/2014, 06:20

... minimum of the function x → (1 + a1 x)2 /(a1 + x) on [1, ∞) is 4a1 (1 − a2 ), we have Q(α) ≥ 4a1 (1 − a2 ), and with this, the proof is complete 1 Proof of Theorem 1.4 In analogy to the proof of Theorem ... solution of a problem of oppeheim,” Mathematical Inequalities & Applications, vol 10, no 1, pp 57–61, 2007 ´ [5] A Baricz, “Functional inequalities involving Bessel and mod...

Ngày tải lên: 22/06/2014, 06:20

... (arrows) in olfactory bulb, respectively nasal mucosa in the roof of the nasal cavity, where they terminate At this point the lymph within the ethmoidal lymphatics appears to be continuous with CSF in ... compromise the function of olfactory nerve In animal patients, examination of olfaction is difficult We examined olfaction of one dog (Case 1), indirectly b...

Ngày tải lên: 07/08/2014, 23:22

... to determine the functions and in this case either the functions coincide or one is the bilinear transformation of the other In 1982 Gross and Yang [ ] proved the following theorem: Theorem A [ ... (S), and all of the zeros and poles of f and g are of multiplicities at least s, l, respectively, and p > + 1l , np > p + n Assume that for the following...

Ngày tải lên: 12/10/2015, 16:18

... show that there are at FINITENESS PROBLEM OF MEROMORPHIC FUNCTIONS SHARING FOUR SMALL FUNCTIONS most three meromorphic functions sharing four small functions regardless of multiplicity To state ... there has no finiteness theorem for the case meromorphic functions sharing four small functions regardless of multiplicities The second purpose...

Ngày tải lên: 14/10/2015, 08:37

... Tan, Normal families of meromorphic mappings of several complex variables into CP n for moving hypersurfaces, Ann Polon Math., 94, 97-110 [12] Z Tu, Normal criteria for families of holomorphic mappings ... Thai and P N T Trang, Normal families of meromorphic mappings of several complex variables into CP n , Nagoya Math J., 180 (2005), 91-110 [10] W Stoll, Nor...

Ngày tải lên: 16/10/2015, 09:35

... N (r, min{ν(f,H2n +2 ) , ν(g,H2n +2 ) }) [n] [1] N(u,H2n +2 ) (r) − nN(g,H2n +2 ) (r) + o(Tf (r)) = u=f,g [n] ≤ [n] N(u,H2n +2 ) (r) − N(g,H2n +2 ) (r) + o(Tf (r)) u=f,g [n] = N(f,H2n +2 ) (r) + o(Tf ... || N(f,H2n +2 ) (r) = N(f,H2n +2 ) (r) + o(Tf (r)) and || N(u,H2n +2 ) (r) = nN(g,H2n +2 ) (r) + o(Tf (r)) It folows that min{ν(f,H2n +2 ) , n + 1} = min{ν(f,H2n +2 ) , n} and mi...

Ngày tải lên: 16/10/2015, 14:15