# Zhaokun Ma's research while affiliated with Shandong University and other places

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## Publications (5)

For any real polynomial p(x) of even degree k . B. Shapiro propose the 12th conjecture saying that the sum of the number of real zeros of two polynomials (( k - 1 )( p' ( x )) ² - kp ( x ) p'' ( x ) and p ( x )) is larger than 0. We comprehensively prove the original B.Shapiro's 12th conjecture and B.Shapiro's 12th conjecture of entire functions by...

For any real polynomial $p(x)$ of even degree k , Shapiro [‘Problems around polynomials: the good, the bad and the ugly $\ldots $ ’, Arnold Math. J. 1 (1) (2015), 91–99] proposed the conjecture that the sum of the number of real zeros of the two polynomials $(k-1)(p{'}(x))^{2}-kp(x)p{"}(x)$ and $p(x)$ is larger than 0. We prove that the conjecture...

We show two results of mean value problem, Smale's mean value problem is comprehensively solved in this paper.

We introduce and develop the root locus method in mathematics. And we study the distribution of zeros of meromorphic functions by root locus method.

The main result of this paper shows a totally new necessary and sufficient condition to determine both real and complex zeros of derivative of all entire and meromorphic functions of one complex variable in the extended complex plane. By using the theorem, we reprove some results about zeros of derivative of Xi function,Gamma function and digamma f...