The aim of this paper is to study the order of meromorphic solutions of linear difference equation An(z)f(z+n)+…+A1(z)f(z+1)+A0(z)f(z)=0,where the coefficients Aj(z)(j=0,...,n)are entire functions.We obtain some resu...The aim of this paper is to study the order of meromorphic solutions of linear difference equation An(z)f(z+n)+…+A1(z)f(z+1)+A0(z)f(z)=0,where the coefficients Aj(z)(j=0,...,n)are entire functions.We obtain some results by giving some restrictions on coefficients of above equation with no dominating coefficient and partially answer a question of I.Laine and C.C.Yang.展开更多
In this paper, we investigate the complex oscillation of the higher order differential equation where B0, ...,Bk-1,,F 0 are transcendental meromorpic functions having only finitely many poles. We obtain some precise e...In this paper, we investigate the complex oscillation of the higher order differential equation where B0, ...,Bk-1,,F 0 are transcendental meromorpic functions having only finitely many poles. We obtain some precise estimates of the exponent of convergence of the zero sequence of meromorphic solutions for the above equation.展开更多
Let f be a transcendental meromorphic function and g(z)=f(z+c1)+f(z+c2)-2f(z) and g2(z)=f(z+c1)·f(z+c2)-f2(z).The exponents of convergence of zeros of differences g(z),g2(z),g(z)/f(z),and g2(z)/f2(z) are estimate...Let f be a transcendental meromorphic function and g(z)=f(z+c1)+f(z+c2)-2f(z) and g2(z)=f(z+c1)·f(z+c2)-f2(z).The exponents of convergence of zeros of differences g(z),g2(z),g(z)/f(z),and g2(z)/f2(z) are estimated accurately.展开更多
In this paper, we investigate the existence and the form of subnormal solution for a class of second order periodic linear differential equations, estimate the growth properties of all solutions, and answer the questi...In this paper, we investigate the existence and the form of subnormal solution for a class of second order periodic linear differential equations, estimate the growth properties of all solutions, and answer the question raised by Gundersen and Steinbart.展开更多
基金Supported by the National Natural Science Foundation of China(Grant No.11661043)the Foundation of Education Department of Jiangxi Province(Grant No.GJJ2200320)。
文摘The aim of this paper is to study the order of meromorphic solutions of linear difference equation An(z)f(z+n)+…+A1(z)f(z+1)+A0(z)f(z)=0,where the coefficients Aj(z)(j=0,...,n)are entire functions.We obtain some results by giving some restrictions on coefficients of above equation with no dominating coefficient and partially answer a question of I.Laine and C.C.Yang.
文摘In this paper, we investigate the complex oscillation of the higher order differential equation where B0, ...,Bk-1,,F 0 are transcendental meromorpic functions having only finitely many poles. We obtain some precise estimates of the exponent of convergence of the zero sequence of meromorphic solutions for the above equation.
基金supported by National Natural Science Foundation of China (Grant No. 10871076)Brain Pool Program of Korean Federation of Science and Technology Societies (Grant No. 072-1-3-0164)
文摘Let f be a transcendental meromorphic function and g(z)=f(z+c1)+f(z+c2)-2f(z) and g2(z)=f(z+c1)·f(z+c2)-f2(z).The exponents of convergence of zeros of differences g(z),g2(z),g(z)/f(z),and g2(z)/f2(z) are estimated accurately.
基金This work was supported by the Brain Pool Program of Korea Federation of Science and Technology Societies (No. 072-1-3-0164)NURI Academy of Banking, Derivatives and Seeurites and Insurance, and the Natural Science Foundation of Guangdong Province in China (Grant No. 06025059)
文摘In this paper, we investigate the existence and the form of subnormal solution for a class of second order periodic linear differential equations, estimate the growth properties of all solutions, and answer the question raised by Gundersen and Steinbart.
