New Trends on Analytic Function Theory

New Trends in Geometric Function Theory 2011

New Trends in Geometric Function Theory

1 Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania 2 Department of Mathematics, Faculty of Science, University of Mansoura, Mansoura 35516, Egypt 3 Department of Applied Mathematics, Pukyong National University, Busan 608-737, Republic of Korea 4 Department of Mathematics, Rzeszów University of Technology, 35-959 Rzeszów, Poland 5 Department of M...

New trends on Structural Graph Theory

Recent research Boris Alexeev I am currently working on an induced subgraph characterization of double-split graphs. (Recall that double-split graphs are one of the ”basic classes” in the proof of the strong perfect graph theorem.) On Tuza’s Conjecture Jessica McDOnald Tuza conjectured that for every graph G, the maximum size of a set of edge disjoint triangles is at most twice the minimum size...

A Function-Analytic Development of Field Theory

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New Aspects of Analytic Number Theory

Takao Komatsu (Hirosaki Univ.) Four term leaping recurrence relations Elsner and Komatsu investigated linear three-term recurrence formulae Zn = T (n)Zn−1+U(n)Zn−2 (n ≥ 2) with sequences of integers {T (n)}n≥0 and {U(n)}n≥0, which are ultimately periodic modulo m. If U(n) 6= 0 for all n ≥ 0, then there exists a three-term leaping recurrence relation of the form W1Zrn+i+W2Zr(n−1)+i+ W3Zr(n−2)+i ...