ON THE OPERATIONS OF ALGEBROID FUNCTIONS

doi:10.1016/S0252-9602(10)60042-2

Abstract

Abstract:

In this article, we first investigate the operational properties of algebroid functions. Then we prove two uniqueness theorems for algebroid functions.

Key words: algebroid function, addition, multiplication, analytic image, uniqueness theorem

CLC Number:

30D45

Cite this article

SUN Dao-Chun, GAO Zong-Sheng. ON THE OPERATIONS OF ALGEBROID FUNCTIONS[J].Acta mathematica scientia,Series B, 2010, 30(1): 247-256.

share this article

0
/ / Recommend

Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks

URL: http://121.43.60.238/sxwlxbB/EN/10.1016/S0252-9602(10)60042-2

http://121.43.60.238/sxwlxbB/EN/Y2010/V30/I1/247

Trendmd

References

[1] He Yuzan, Xiao Xiuzhi. Algebroid Functon and Ordinary Differential. Beijing: Science Press, 1988

[2] Lv Yinian, Zhang Xuelian. Riemann Surface. Beijing: Science Press, 1997

[3] Sun Daochun. The growth of algebroid function. Journal of South China Normal University, 2006, (3): 1--6

[4] Sun Daochun, Gao Zhongsheng. The uniqueness theorem of algebroid function. Journal of South China Normal University, 2005, (3): 80--85

[5] Yi Hongxun, Yang Chongjun. Uniqueness Theory of Meromorphic Functions. Beijing: Science press, 1995

[6] Yang Lo. Distribution of Values and Its New Study. Beijing: Science Press, 1982

[7] Hayman W K. Meromorphic Function. Oxford: Clarendon Press, 1964

[8] Gan Huilin, Sun Daochun. Normality theorems of algebroid functions. Acta Mathematica Scientia, 2007, 27A(4): 611--615

[9] Mokhon'ko A Z. Nevanlinna characteristics of the composition of rational and algebroid functions. Ukrain Mat Zh, 1982, 34(3): 388--396

Related Articles 15

[1]	Yang TAN. SEVERAL UNIQUENESS THEOREMS OF ALGEBROID FUNCTIONS ON ANNULI [J]. Acta mathematica scientia,Series B, 2016, 36(1): 295-316.
[2]	Daochun SUN, Yingying HUO, Xiaomei ZHANG. GENERAL ALGEBROID FUNCTION AND ITS APPLICATION [J]. Acta mathematica scientia,Series B, 2016, 36(1): 283-294.
[3]	Jipeng CHENG, Jingsong HE. THE INTEGRAL TYPE GAUGE TRANSFORMATION AND THE ADDITIONAL SYMMETRY FOR THE CONSTRAINED KP HIERARCHY [J]. Acta mathematica scientia,Series B, 2015, 35(5): 1111-1121.
[4]	Pingyuan ZHANG, Peichu HU. ON UNIQUENESS FOR ALGEBROID FUNCTIONS OF FINITE ORDER [J]. Acta mathematica scientia,Series B, 2015, 35(3): 630-638.
[5]	Fang LIU. SOLUTIONS TO A CLASS OF PARABOLIC INHOMOGENEOUS NORMALIZED p-LAPLACE EQUATIONS [J]. Acta mathematica scientia,Series B, 2015, 35(2): 477-494.
[6]	D. SENTHILKUMAR, P. CHANDRA KALA. TENSOR SUM AND DYNAMICAL SYSTEMS [J]. Acta mathematica scientia,Series B, 2014, 34(6): 1935-1946.
[7]	Dae-Woong LEE. ON INVERSES AND ALGEBRAIC LOOPS OF CO-H-SPACES [J]. Acta mathematica scientia,Series B, 2014, 34(4): 1193-1211.
[8]	H. M. SRIVASTAVA, M. I. QURESHI, Kaleem A. QURAISHI, Ashish ARORA. APPLICATIONS OF HYPERGEOMETRIC SUMMATION THEOREMS OF KUMMER AND DIXON INVOLVING DOUBLE SERIES [J]. Acta mathematica scientia,Series B, 2014, 34(3): 619-628.
[9]	Mirjana STOJANOVIC. REGULARITY OF SOLUTIONS TO NONLINEAR TIME FRACTIONAL DIFFERENTIAL EQUATION [J]. Acta mathematica scientia,Series B, 2013, 33(6): 1721-1735.
[10]	B. YOUSEFI, Sh. KHOSHDEL, Y. JAHANSHAHI. MULTIPLICATION OPERATORS ON INVARIANT SUBSPACES OF FUNCTION SPACES [J]. Acta mathematica scientia,Series B, 2013, 33(5): 1463-1470.
[11]	LIU Hui-Fang, SUN Dao-Chun. ON THE SHARING VALUES OF ALGEBROID FUNCTIONS AND THEIR DERIVATIVES [J]. Acta mathematica scientia,Series B, 2013, 33(1): 268-278.
[12]	TU Zhen-Han, WANG Zhong-Hua. UNIQUENESS PROBLEM FOR MEROMORPHIC MAPPINGS IN SEVERAL COMPLEX VARIABLES INTO PN(C) WITH TRUNCATED MULTIPLICITIES [J]. Acta mathematica scientia,Series B, 2013, 33(1): 122-130.
[13]	LIU Xiao-Dong, ZHANG Bo. INVERSE SCATTERING BY AN INHOMOGENEOUS PENETRABLE OBSTACLE IN A PIECEWISE HOMOGENEOUS MEDIUM [J]. Acta mathematica scientia,Series B, 2012, 32(4): 1281-1297.
[14]	Hani A. Khashan. ON ALMOST PRIME SUBMODULES [J]. Acta mathematica scientia,Series B, 2012, 32(2): 645-651.
[15]	SUN Dao-Chun, GAO Zong-Sheng. ON THE C. CHANG TYPE INEQUALITY OF ALGEBROID FUNCTIONS [J]. Acta mathematica scientia,Series B, 2011, 31(3): 835-842.

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed

Comments

Recommended 10

[1]	Zeng Luchuan. ASYMPTOTIC BEHAVIOR FOR COMMUTATIVE SEMIGROUPS OF ALMOST ASYMPTOTICALLY NONEXPANSIVE TYPE MAPPINGS[J]. Acta mathematica scientia,Series B, 2006, 26(2): 246 -254 .
[2]	Chen Zhenlong. GENERALIZED BROWNIAN SHEET IMAGES AND BESSEL-RIESZ CAPACITY[J]. Acta mathematica scientia,Series B, 2007, 27(1): 77 -91 .
[3]	Li Yingkui; Liu Peide. VECTOR-VALUED RANDOM POWER SERIES ON THE UNIT BALL OF Cⁿ[J]. Acta mathematica scientia,Series B, 2007, 27(1): 57 -66 .
[4]	Yang Qiaohua; Zhang Qin. THE SPHERICAL FUNCTIONS AND THE CENTRAL LIMIT THEOREM ON SU(2,2)/S(U(2)×U(2))[J]. Acta mathematica scientia,Series B, 2007, 27(4): 867 -874 .
[5]	Deng Chunyuan; Du Hongke. A NEW CHARACTERIZATION OF THE CLOSEDNESS OF THE SUM OF TWO SUBSPACES[J]. Acta mathematica scientia,Series B, 2008, 28(1): 17 -23 .
[6]	Zhou Jiazu; Jiang Deshuo. ON MEAN CURVATURES OF A PARALLEL CONVEX BODY[J]. Acta mathematica scientia,Series B, 2008, 28(3): 489 -494 .
[7]	Chen Zuchi; Li Du. BOUNDARY VALUE PROBLEM FOR DEGENERATE AND SINGULAR p-LAPLACIAN SYSTEMS[J]. Acta mathematica scientia,Series B, 2008, 28(3): 651 -664 .
[8]	Wang Yi. ZERO DISSIPATION LIMIT OF THE COMPRESSIBLE HEAT-CONDUCTING NAVIER-STOKES EQUATIONS IN THE PRESENCE OF THE SHOCK[J]. Acta mathematica scientia,Series B, 2008, 28(4): 727 -748 .
[9]	Dai Qiuyi\|Christopher C. Tisdell. NONDEGENERACY OF POSITIVE SOLUTIONS TO HOMOGENEOUS SECOND-ORDER DIFFERENTIAL#br# SYSTEMS AND ITS APPLICATIONS[J]. Acta mathematica scientia,Series B, 2009, 29(2): 435 -446 .
[10]	JIANG Ba-Ju, WANG Shi-Cheng. AN UNGUIDED TOUR STARTED FROM CHIRALITY[J]. Acta mathematica scientia,Series B, 2009, 29(4): 867 -880 .

Abstract
References
Related Articles
Metrics
Comments
Recommended

TOP