Finely chop one banana pepper. In a small skillet, saute pepper in 1 tablespoon butter until tender. Set aside.
Place the pine nuts, lemon juice, salt, pepper and remaining butter in a food processor; cover and process until blended. Add cooked pepper; cover and process until blended. Set butter mixture aside.
Place beans in a large saucepan and cover with water. Cut remaining pepper into thin strips; add to beans. Bring to a boil. Cover and cook for 5-7 minutes or until crisp-tender; drain. Place vegetables in a large bowl; add butter mixture and toss to coat.