Convexity properties for generalized q-integral operators of p-valent functions involving the ruscheweyh derivative and the generalized salagean operator

• Main Authors: Wongsaijai B., Sukantamala N.
• Format: Article
• Published: University of Allahabad 2015
• Subjects: Mathematics (all)
• Online Access: http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84929174111&origin=inward; http://cmuir.cmu.ac.th/handle/6653943832/38952
• Institution: Chiang Mai University

© 2015 Pushpa Publishing House, Allahabad, India. Making use of a certain operator of fractional q-derivative with Ruscheweyh derivative and the generalized Salagean operator, we define two new generalized q-integral operators of p-valent functions. Also, we introduce two new comprehensive subclasses of analytic functions with respect to q-differentiation and obtain the convexity properties of these integral operators of p-valent functions on two new classes. We also briefly indicate the relevant connections of our presented results to the formerly reported results. Furthermore, special cases of the main results are also mentioned.