The development of Byzantine art and architecture was primarily influenced by the blending of Roman art and architecture with elements of Eastern styles. This fusion created a unique aesthetic characterized by the use of rich colors, elaborate mosaics, and distinctive architectural forms, such as domes and ornate interiors.
While Islamic architectural styles and decorative techniques certainly had an impact on Byzantine art in later periods, especially as a result of cultural exchanges, the foundational influence remained rooted in the earlier Roman and Hellenistic traditions. Additionally, the crossroad of trade in Constantinople facilitated the introduction of various Eastern artistic elements, but Egyptian and Indian art did not have a dominant or defining role in shaping Byzantine aesthetics.
Russian religious art, while connected to Byzantine traditions through the spread of Orthodox Christianity, was more heavily influenced by Byzantine art rather than the other way around.
Thus, the most accurate response is that Roman art and architecture blended with elements of Eastern styles in Byzantine art and architecture.